An object is thrown 16 m/s straight up from a 7 m tall cliff. How much time does it take to hit the ground below?

Answers

Answer 1

An object is thrown 16 m/s straight up from a 7 m tall cliff. 5.73 seconds  time does it take to hit the ground.

From the statement, We have object thrown straight up from a tall cliff and we have to determine how much time does it take to hit the ground below.

initial velocity [u] = 16 m/s

Height of cliff [h] = 7 m

Time taken by the object to attain maximum height with reference to cliff-

v = u + at

0 = u - gt

u = gt

t = u/g = 16/9.8 = 1.63 seconds

Maximum height attained with reference to cliff will be =v² - u² = 2aS

v = 0 [at maximum height]

-u² = - 2gS

u² = 2gS

S = u²/2g = (16 x 16)/(2 x 9.8) = 13.1 meters

Now, the all distance covered by the ball from maximum height untill it reaches the ground =

Downward distance (Max. height to cliff) + 7 m = 13.1 + 7 = 20.1 m

Now, time took  from top to reach the ground will be -

S = ut + 1/2 at²

S = 0 + 1/2 at²

S = 1/2 at²

t [2] = √2S/g = √(2 x 20.1)/(9.8) = 4.1 s

Hence, the time taken by the ball to hit the ground below will be =

1.63 + 4.1 = 5.73 seconds

kinematics deals with motion's parameter like distance,time,velocity

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Related Questions

Place the following types of electromagnetic radiation in order of increasing wavelength. Ultraviolet light, gamma rays, microwaves.

Answers

in order of increasing wavelength gamma rays <UV light,<Microwaves

We need to describe the relationship for electromagnetic wave ordering that is provided by:

Light travels at a speed of c=*v. The wavelength and frequency of the waves are and, respectively.

Then, since we are aware that the gamma ray (1018 1/s) has the highest frequency of these radiations and the microwave (108 1/s) has the lowest, we may say:

The ultraviolet spectrum is placed between microwave and gamma radiation at frequencies of 1016 1/s.

We can arrange these radiations from short to long wavelengths in the following manner:

gamma rays <UV light,<Microwaves

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In c 11, assuming mychar is a char variable and mystring is a string, what is the value of mychar after the following statement executes? mychar = mystring.front();

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The value of mychar after the statement executes is the first character of mystring.

What is C++11?

The ISO/IEC 14882 standard for the C++ programming language is known as C++11. The previous C++ standard, C++03, was replaced by C++11, which was then followed by C++14. Although it was formerly known as C++0x since it was anticipated to be published before 2010, the name now adheres to the custom of designating language versions by the publication year of the specification.

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The scientific method can easily be misinterpreted as ___________. question 1 options: a great "magical trick", or slide of hands, rather than factual an "auto mechanics" guide to science investigation a "cookbook" recipe with linear steps for performing scientific investigations

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It can be misinterpreted as a "cookbook" recipe for performing scientific investigations.

What one word best describes the scientific method?

Through testing and experimentation, the scientific method is established through an unbiased manner.

The fundamental steps in these findings are Making an observation, formulating a hypothesis, making a prediction, carrying out an experiment, and then evaluating the findings.

Can any question be answered using the scientific method?

There are limitations to the scientific process. Only quantitative data from observable, quantifiable, and repeatable experiments can it provide objective answers to questions.

It cannot provide an objective response to queries based on personal convictions or preferences, such as whether there are ghosts or deities present or who makes the finest doughnut.

What questions cannot be solved by science?

The presence of any supernatural being or God cannot be established or disproven by science. Sometimes, attempts to provide a hand using scientific concepts.

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After 55 years, what mass (in g) remains of a 200.0 g sample of a radioactive isotope with a half-life of 10.0 years?

Answers

By the half-life of radioactive, the remaining mass of radioactive elements is 4.42 grams.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 10 years

No = 200 g

t = 55 years

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = 200(1/2)^(55/10)

N = 4.42 grams

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A place kicker kicks a football with a velocity of 20 m/s and at an angle of 53 degrees
a) How long is the ball in the air?
b) How far away does it land?
c) How high does it travel?

Answers

(a) For 3.26sec long is the football in the air

(b) The football will land 39.24m far away

(c) The football will travel 13.01m high.

The vectors in x and y direction for football are as follows:

[tex]v_{y} = v_{o} sin53[/tex]

[tex]v_{y} = 15.97m/s[/tex]

[tex]v_{x} = v_{o} cos53[/tex]

[tex]v_{x} = 12.04m/s[/tex]

(a) According to equation of motion :

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]0 = (15.97)t+4.9t^{2}[/tex]

15.97 = 4.9t

t = 3.26seconds

Therefore, for 3.26sec long is the football in the air.

(b) Again using equation of motion:

[tex]x = v_{x} t[/tex]

x = 12.04 × 3.26

x = 39.24meters

Therefore, the football will land 39.24m far away.

(c) Dividing the time obtained in part (a) we get t = 1.63s

So, by using motion law we get,

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]y = (15.97)(1.63)+(4.9)(1.63)^{2}[/tex]

y = 13.01meters.

Therefore, the football will travel 13.01m high.

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During a hard sneeze, your eyes might shut for 0.40 s. if you are driving a car at 77 km/h during such a sneeze, how far does the car move during that time?

Answers

The car with a velocity of 77 km/h, during a hard sneeze of 0.40 s, moves  8.56 m

Applying the distance formula from the uniformly rectilinear motion (URM), we have:

x = v * t

Where:

x = distancet = timev = velocity

Information about the problem:

v = 77 km/h t = 0.40 sx=?

Converting the velocity units from km/h to m/s, we get:

77 km/h * (1000 m/ 1 km) * (1 h/ 3600 s) = 21.389 m/s

Applying the distance formula we have that:

x = v * t

x= 21.389 m/s * 0.40 s

x = 8.56 m

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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You are given pure samples of ammonia, nh3(g), and nitrogen trifluoride, nf3(g). what prediction would you make concerning their standard molar entropies at 298 k?

Answers

The standard molar entropies at 298 K is

S°Ammonia < S°Nitrogen trifluoride.

How are standard entropies calculated?

The entropy of a substance can be calculated by measuring the amount of heat required to raise the temperature by a given amount in a reversible process. S° is the entropy of one mole of a substance in its standard state at one atmosphere of pressure.The difference between the sum of the molar entropies of the products and the sum of the molar entropies of the reactants can be used to calculate the change in the standard molar entropy of a reaction.The entropy or degree of randomness of one mole of a sample under standard state conditions is defined as standard molar entropy. The standard molar entropy unit is joules per mole Kelvin (J/molK).

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A car , mass = 2000 kg, is traveling on a highway at a velocity of 20 m/s when it ploughs into a number of sand bags. the sandbags stop the car in 4.0 m what is the force on the car?

Answers

The force on the car is 1×10^5 N.

The work-energy theorem states that when a force displaces a body, the change in kinetic energy of the body is measured. Conversely, when an opposing force is applied to a body, the kinetic energy of the body decreases by the same amount. It loses kinetic energy. The bodies' loss of kinetic energy is equivalent to the labor they put into resisting the opposing force.

mass of the car, m = 2000 kg

the velocity of car  , v = 20 m/s

distance traveled, s = 4 m

let the force on the car be F

using work-energy theorem

[tex]F\times s\times cos(180) = 0.5 \times m \times ( 0 - v^2)[/tex]

[tex]F \times 4 \times(-1) = 0.5\times 2000 \times ( 0 - 20^2)[/tex]

solving for F

[tex]F = 1 \times 10^5 N[/tex]

the force on the car is [tex]1 \times 10^5 N.[/tex]

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1. Add together two vectors: the first has a magnitude of 95 units and is directed east; the other has a magnitude of 45 units directed at 45°to the first.​

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The addition of the two vectors is 130.75 units.

The term "vector" is used colloquially to describe constituents of particular vector spaces or some quantities that cannot be described by a single integer.

The magnitude of a vector formula can be utilized to determine the length of a given vector. This amount is essentially the distance between the vector's beginning point and ending point.

The first vector has a magnitude of 95 units and is directed east and the magnitude of the second vector is 45 units directed 45° to the first vector.

Let the magnitude of the first vector be [tex]|\overrightarrow A|=95[/tex].

Let the magnitude of the second vector be [tex]|\overrightarrow B|=45[/tex].

And the angle between the two vectors θ = 45°

Then, the sum of the two vectors will be:

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{A^2+B^2+2ABcos(\theta)}[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{95^2+45^2+2(95)(45)cos(45^{\circ})}[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{9025+2025+8550\frac{1}{\sqrt{2} } }[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{11050+6045.76}\\|\overrightarrow A + \overrightarrow B| = \sqrt{17095.76 }\\|\overrightarrow A + \overrightarrow B| = 130.75[/tex]

The sum of the two vectors is 130.75 units.

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What angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity?

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41.55° angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity.

Assume that Io is the initial intensity and that is the angle between the polarizer and the filter axis.

After filtering, light has a 0.56 Io light intensity.

According to Malus's law, the amount of plane-polarized light that enters the analyzer is directly inversely proportional to the square of the cosine of the angle between the polarizer's plane and its transmission axis.

By applying the Malus law,

[tex]I = I_{0} Cos^{2}[/tex]θ

[tex]0.56I_{0} = I_{0} Cos^{2}[/tex]θ

[tex]0.56= Cos^{2}[/tex]θ

θ = 41.55°

Therefore, 41.55° angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity.

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An object is dropped from a roof of a building of height h. during the last second of its descent, it drops a distance h/3. calculate the height of the building.

Answers

An object is dropped from a roof of a building of height h, the height of the building is 145.5 m.

Calculation

It is given that

[tex]y_{last}[/tex]= h/3

[tex]t_{last}[/tex]= 1s

g= 9.8 m[tex]s^{-2}[/tex]

In first stage,

t1= (t-1)s  y1 = 2h/3

vi1 = 0

according to the kinematic equation,

y1= v1t1 + 1/2 g[tex]t1^{2}[/tex]

then substituting all the values, we have

2h/3 = 1/2(9.8)[tex](t-1)^{2}[/tex]

⇒ h = 7.35[tex](t-1)^{2}[/tex] → 1

Then the final velocity can be calculated by

vf1=[tex]vi^{2}[/tex]+ g(t - 1)

vf1= 9.8(t - 1)

In the second stage,

t2= 1s

y2= h/3

g=9.5 m[tex]s^{-2}[/tex]

vi2 = vf1 = 9.8(t - 1)

Acoording to kinematic equation,

y2 = vi2 t2 + 0.5g[tex]t1^{2}[/tex]

substituting the values,

h/3 = 9.8(t - 1) + 4.9

⇒ h= 29.4(t - 1) + 14.7 → 2

From equation 1 and 2, we get,

7.35[tex](t-1)^{2}[/tex] = 29.4(t - 1) + 14.7

if we assume (t-1) = R, we get

7.35[tex]R^{2}[/tex] - 29.4R - 14.7 =0

⇒R = 4.45

t = R+1 = 5.45s

substituting the value of t in equation 1, we have

h= 7.35[tex](4.45)^{2}[/tex] = 145.5m

Thus, the height of the building is 145.5m.

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Why is it jazardous ro look directly into the crucible when the magnesium first reacts with the oxygen?

Answers

Answer:it can blind you

Explanation:

when magnesium reacts with oxygen it creats a light bright enough to blind you

How far from the heavy end of a 68.0-cm long bat would its center of gravity be if its is at one-fourth of the length of the bat?

Answers

The heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

The location where an object's weight is equally distributed on all sides is known as its center of gravity. For all practical purposes, the behavior would be almost unchanged if you substitute a point mass for the body at the center of gravity. The stability of an object is intimately related to its center of gravity.

We can solve finding if the center of gravity is at one-fourth the bat's length if [tex]c_{g} = \frac{1}{4} L[/tex]

where L = length of bat

[tex]c_{g} =\frac{1}{4} (68.0)[/tex]

[tex]c_{g} = 17cm[/tex]

Therefore, the heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

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Which theoretical perspective is consistent with the idea that the mass media represents the idea's of the ruling class and is used to oppress the poor and powerless?

Answers

Social conflict theoretical perspective is consistent with the idea that the mass media represents the idea's of the ruling class and is used to oppress the poor and powerless.

Conflict in society arises when people compete for control or authority. Social conflict occurs when two or more individuals disagree with one another in social interactions and each employs reciprocal social power to pursue opposing but stop the other from achieving their own goals. In contrast to role conflict, which involves only two sides, social conflict involves multiple parties, including groups, organizations, communities, and crowds.

Making incorrect assumptions when there is uncertainty might lead to social conflict. Consider the difference between making a negative assumption, such as that a late friend doesn't respect your time, and a positive assumption, such as that they have encountered an issue, like a late train.

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The density of a particular kind of glass is 2.40 g/cm^3 what is the volume of a 34.82?

Answers

The volume occupied of  a particular kind of glass with a density of 2.40 g/cm^3l and a mass of  34.82 g is: 14.508 cm^3

The density formula and the procedure we will use is:

d = m/v

Where:

v= volumed= densitym= mass

Information about the problem:

d= 2.40 g/cm^3m = 34.82 gv = ?

Applying the density formula and clearing the volume we get:

d = m/v

v = m/ d

v = 34.82 g/2.40 g/cm^3

v = 14.508 cm^3

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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A bus leaves Houston at 6am headed toward Austin at a constant speed of 54.3 miles/hr. If Austin is located 190 miles west of Houston, approximately when will the bus arrive in Austin?

Answers

resolved for the constant speed as the ratio of distance and time. We have B as the speed, the, as the distance at the at the time it is given that the bus leaves easter and other exactly six o'clock in the morning In Travis at a constant speed of 54.3 mph to Austin, which is located at a distance of 190 miles away. We want to find the arrival time. So first is that satisfying the time of travel to suffer the time from the given equation. And we have B equals distance divided by the speed. The distance is 190 miles and the speed is 54.3 mph. We get time here in terms of R. S. S 3.5, So it takes three hours and three hours and 30 minutes to travel, he said distance. So if it's if the bus departs at the at the time of six of clubs, So three hours and 30 minutes after that, it will arrive to Austin. So that means the arrival time will be nine 30 in the morning, So that's three hours and 20 minutes. Oh, after six o'clock. So I hope everything is clear.

Why do people with high blood pressure sweat

Answers

Answer: People may not sweat excessively because of the hypertension or higher blood pressure than 120/80 mm Hg. They are not directly related. It is possible that they get exhausted quicker than others, or they have anxiety (nervousness) and hence they sweat more. Normally excessive sweating comes from excessive activity from thyroid or pituitary glands.

Graphs are pictorial representations of

Answers

A graph is a pictorial representation of a set of objects where some pairs of objects are connected by links.

An image graph or pictograph is a graph used to display data that use pics or symbols to represent facts. The interconnected items are represented through factors termed vertices, and the hyperlinks that connect the vertices are known as edges. amongst different forms of information representations possible, the representation which includes images and pictorial representation of facts is referred to as a pictograph.

Pictographs and bar graphs are pictorial representations of numerical records. answer: real. with the aid of the definition, pictographs and bar graphs are pictorial representations of the numerical data. the records presented thru pictures or image of various objects is called a pictorial representation of facts. The photos of different objects are used to symbolize specific statistics, so such pictorial data are called pictographs.

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100 POINTS
1. In 1991, four English teenagers built an electric car that could attain a speed of 30.0 m/s. Suppose it takes 1 s for this car to accelerate from 7 m/s to 25 m/s. What is the magnitude of the car's acceleration?
2. What is the change in position, displacement, if a person moves from rest to 30 m away to the west?
15 m west
60 m west
30 m
30 m west
3.What would be the final velocity at the end of this fall if the initial velocity is 0 m/s and the time allowed to fall is 3 seconds?
29.4 m/s
44.1 m/s
12.81 m/s
Samuel is riding his bicycle 1.2 m/s to the east. How far does he go after 15s?
1.25 m
19 m
18 m
1.8 m
A deer runs out in front of this car and cause the driver to have to come to a stop. If the driver has an average acceleration of -6 m/s2 , how long will it take for him to stop if the car is travelling 12 m/s?
2 s
.5 s
-.5 s
-2 s

Answers

The answers are attached in the file.

Hope this helps :)

The acceleration of the electric car if it takes 1 s for this car to accelerate from 7 m/s to 25 m/s is 18 m/s².

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well.

Given:

The initial speed of the electric car, u = 7 m/s,

The final speed of the electric car, v = 25 m/s,

Time taken, t = 1 sec,

Calculate the acceleration as shown below,

Acceleration = Final speed - Initial speed / time

Acceleration = 25 - 7 / 1

Acceleration = 18 / 1

Acceleration =  18

Thus, the acceleration of the car is 18 m/s².

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What mass of sucrose, c12h22o11 would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of kcl?

Answers

45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

We can obtain the freezing point of solution using:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

[tex]m = \frac{moles}{volume of solvent in kg}[/tex]

[tex]m = \frac{mass/molarmass}{0.2}[/tex]

[tex]m = \frac{5/74.55}{0.2}[/tex]

m = 0.3353moles/kg

Now, Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

Δ[tex]T_{f}[/tex] = 2 × (-1.86) × 0.3353

Δ[tex]T_{f}[/tex] = -1.2473°C

Now, for obtaining mass of sucrose , using the same formula of freezing point we get:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

-1.2473 = 1 × (-1.86) × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass}{68.46}[/tex]

mass = 45.90kg

Therefore, 45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

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The graph in Figure 13 represents the motion of a car moving along a straight highway. Describe in words the car’s motion.

Answers

Answer:

increasing the speed o

Explanation:

direction change

The graph which shows the position of the object at a particular time is called a position-time graph. The position of the object is increasing with time.

What is a position time graph?

The graph which shows the position of the object at a particular time is called a position time graph.

In the given graph, The position of the object in the 1st minute was 50 m, and the position of the object in the 3rd minute was between 50 to 100. The position of the object at the 5th minute was in the range of 100 to 150 m.

The position-time graph shows the velocity of the object. The slope of the object gives the location of the object.

There are two types of graphs such as straight line graphs and curve graphs. If the graph is curved it is showing the slope of the object keeps on changing.

Therefore, The graph which shows the position of the object at a particular time is called the position-time graph. The position of the object is increasing with time.

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What is the typical wavelength of microwaves used to heat up a frozen burrito? [note: commercial microwaves operate at approximately 2.5 ghz.]

Answers

12.2 millimeters is the typical wavelength.

Typically, consumer ovens operate at 2.45 gigahertz (GHz), or 12.2 centimeters, of wavelength (4.80 in).

What is the usual microwave wavelength?

According to the Encyclopedia Britannica, microwaves have frequencies that range from approximately 1 billion cycles per second, or 1 GHz, up to approximately 300 GHz, and wavelengths that range from approximately 30 centimeters (12 inches) to 1 millimeter (0.04 inches).

Why do microwave ovens use a 2.45 GHz frequency?

Additionally, they typically ran at a frequency of 2.45 GHz. It was agreed that microwave ovens should be granted a few megahertz of space in both directions since, despite extensive shielding, their potent emissions could occasionally interfere with nearby frequencies.

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A kangaroo can jump over an object 2.7 m high. calculate its vertical speed when it leaves the ground. assume the acceleration of gravity as 9.8 m/s2. (express the numeral of your answer in si units)

Answers

The kangaroo has a vertical speed when it leaves the ground of: 7.274 m/s

The formula for the vertical launch upward and the procedure we will use is:

y max = v₀²/(2*g)

Where:

v₀ = initial velocityg = gravityy max = maximum height

Information about the problem:

g = 9.8 m/s²y max= 2.7 mv₀ = ?

Applying the maximum height formula and clearing the initial velocity we get:

y max = v₀²/(2*g)

v₀ = √(y max * (2*g))

v₀ = √( 2.7 m * (2 * 9.8 m/s²))

v₀ = √( 2.7 m * 19.6 m/s²)

v₀ = √52.92 m²/s²

v₀ = 7.274 m/s

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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why we reduce non renable source of energy​

Answers

Answer:

Reducing the use of non-renewable energy sources preserves that resource so it does not run out.

Explanation:

Non-renewable energy is limited. The word renewable means "not depleted when used." Meaning that there is ultimately an infinite amount of the source. If an energy source is NON-renewable it will eventually run out.

Silver has a density of 10.5 g/cm^3 what is the mass of a 5.00cm by 15.00cm by 20.00cm block of silver?

Answers

The mass of a 5.00cm by 15.00cm by 20.00cm block of silver is 52.5⋅g.

What is Density ?

The substance's density is defined as its mass per unit of volume (volumetric mass density or specific mass). Although the Latin letter D may also be used, the symbol for density that is most usually used is (the lower case Greek letter rho). The mathematical definition of density is mass divided by volume.

Density = Mass/ Volume

Therefore

Mass =Density (ρ) × volume Mass of silver = 10.5⋅g⋅cm−3×5⋅cm3= 52.5⋅g.

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If you throw a baseball straight up, what is its acceleration at the highest point?

Answers

At highest point velocity becomes zero, and acceleration = ncceleration due to gravity `= g = 9.8 ms ^(-2).

When looking to carry out a decision, one of the most critical elements in successfully implementing a solution is:_______

Answers

When looking to carry out a decision, one of the most critical elements in successfully implementing a solution is Planning.

psychology is the study of mind and behavior through scientific methodhindsight bias is the tendency to think that we may have predicted something that has already happened that we probably would not have been able to thought.scientific method is the set of premise , rules, and procedures that scientists use to deal empirical research.

behaviorism is based on the premise that it is not possible to objectively study the mind, and therefore that psychologists should limit their attention to the study of behavior itself

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The smallest unit of matter that retain all of the physical properties of that type of matter is?

Answers

The smallest unit of matter that retain all of the physical properties  is Atom.

What is atom?

The smallest component of ordinary stuff that makes up a chemical element is an atom. Atoms that are neutral or ionised make up every solid, liquid, gas, and form of plasma. Atoms are very tiny, measuring approximately 100 picometers across.

A chemical element is uniquely defined by its atoms, which are tiny pieces of substance. An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.

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Can you please help me?
You just walked up the tallest mountain in the United States and are sitting down at the top. How much work are you doing?

A. lot
B. none
C. a little bit

Answers

Answer: lot

Explanation: because you just climbed a mountain

Suppose that a and b are two independent events for which p(a) = 0.31 and p(b) = 0.76. find each of the following:
a. p(a|b) =______
b. p(b|a) =______
c. p(a and b) =______
d. p(a or b) =_______

Answers

The independent events are given below for the outcome provided :

P (A|B) = 0.76

P(B|A) = 0.76

P(A and B ) = 0.2356

P(A or B)   = 0.2356

Understanding probability :

If A and B are independent, then knowing A doesn't give you any additional information about B and vice versa. Mathematically, this relationship are often represented with the two equations P(A|B) = P(B) and P(B|A)=P(B), as long as A and B are independent. differently to state this is that, no matter B, P(A) doesn't change, or A doesn't depend on B.

To (randomly) throw the primary dart into circle A and the second dart into circle B, you've got to get lucky on two separate occasions.

Simplifying the formula :

When throwing the primary dart, your chance of throwing it randomly into circle A is P(A). When throwing the second dart, your chance of throwing it randomly into circle B is P(B). Because the 2 are independent, the multiplication rule, which is usually P(A and B) = P(A|B) * P(B) can be simplified to P(A and B) = P(A) * P(B).

To (randomly) throw darts into either circle, you get two tries, once with A and once with B.

It’s possible that both darts land during a circle. Therefore, the overall addition rule holds, so P(A or B) = P(A) + P(B) - P(A and B).

Given the formulas italicized, you'll plug in your values for P(A) and P(B) to find the other probabilities:

P(A) = 0.31

P(B) = 0.76

Solving :

P(A|B) = P(B)

P (A|B) = 0.76

P(B|A)=P(B)

P(B|A) = 0.76

P(A and B) = P(A) * P(B)

P(A and B ) = 0.31 ×0.76

                    = 0.2356

P(A or B) = P(A) + P(B) - P(A and B)

                 = 0.31 + 0.76 - 0.45

                 = 0.65  

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