The horizontal velocity with which Robert projected himself is v = 31.35m/s.
Equation :Given,
Y = 50m
X = 100m
So, the position function is
Y = -(9.8/2)t²+ 50 = 0
t = 3.19s
Now use speed distance relationship
X = vt
So,
v = X / t
v = 100 / 3.19
v = 31.35m/s
What is the perfect definition of velocity?A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
To know more about speed :
https://brainly.com/question/28224010
#SPJ9
A truck driver attempting to deliver some furniture travels 5 km east turns around and travels 3 km west and then travels 17 km east to his destination. What distance has a driver traveled answer in km?
What is magnitude of the drivers total displacement? answer in Im
Answer:
pp
Explanation:
hahahahhahahhahahahahahaahhahaha.. tbh
On three separate intances you connect each lightbulb to a battery with an and of 12.00V and an internal resistance of 0.5. When a current of 4A passes through the battery, what is the resistance in the LED, CFL and incandescent lightbulb?
The resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms.
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
As given in the problem On three separate instances you connect each lightbulb to a battery with an and of 12.00V and an internal resistance of 0.5. When a current of 4A passes through the battery,
resistance = voltage /current
= 12 volt/4 ampere
= 3 Ohm
The total resistance across the circuit = internal resistance + resistance across the bult
resistance across the bulb = 3 - .50
=2.5 Ohms
Thus, the resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms
To learn more about resistance, refer to the link;
brainly.com/question/14547003
#SPJ1
If 5 smacks = 1 head how many heads are in 1.7 smacks
Answer: 0.34 heads
Explanation:
5 smacks = 1 head
1.7 smacks * 1 head/5 smacks=
1.7 * 1/5=
1.7/5=
1.7/5=0.34 heads
if a rock has a volume of 22.0 mL and a mass of 55 g. what is the density
Answer:
D=5g/2cm cubed
Explanation:
D=M/V
D=55g/22cm cubed
D=5g/2cc
A person walks the path shown below. The total trip consists of four straight-line paths.
Path 1 is 40.0 m due east.
Path 2 is 230.0 m due south.
Path 3 is 110.0 m 30.0° south of west.
Path 4 is 180.0 m 60.0° north of west.
At the end of the walk, what is the person's resultant displacement?
The resultant displacement is (- 145 i - 130 j )m and the angle made by the resultant is 46° west of the South, this can be found using the polygon law of vector addition.
What are vectors?Physical quantity that has both magnitude as well as direction a vector is represented by a line ending with an arrow head where the length of the line represents the magnitude of the vector and the direction of the arrowhead represents the direction of the vector.
What is the polygon law of vector addition?If two or more vectors are joined head to tail then the polygon law of vector addition states that the resultant of such a vector will be given by the vector addition of all the vectors present in the polygon.
Given:
Magnitude of vector 1 pointing south = 40m
Magnitude of vector 2 pointing south = 230 m
Magnitude of vector 3 pointing south of west = 110m
Magnitude of vector 4 pointing north of west = 180 m
Using the polygon law of vector addition we get,
The resultant displacement = vector 1 + vector 2 + vector 3 + vector 4
The resultant displacement = 40 i - 230 j - 110 × cos 30 i - 110 × sin 30 j- 180 × sin 60 j + 180 × cos 60
The resultant displacement = 40 i - 230 j - 95 i - 55 j + 155 j - 90 i
The resultant displacement = ( - 145 i - 130 j )m
To find the angle of the resultant vector we will use tangent trigonometric ratio.
Tan x = (-145)/(-130)
Tan x = (145)/(130)
x = 46° to west of South
Where,
x is the angle made by resultant vector with the vertical axis.
Therefore, the resultant displacement is ( - 145 i - 130 j )m and the angle made by the resultant is 46° to the west of the South.
Learn more about the polygon law of vector addition here:
https://brainly.com/question/13101330
#SPJ9
Destiny is eating lunch at her favorite cafe when her friend Jada calls and says she wants to meet her. Jada is calling from a city 65 miles away and wants to meet Destiny somewhere between the two locations. Jada says she will start driving right away, but Destiny needs 10 min to finish her lunch before she can begin driving.
Jada plans to drive at 60 mph, whereas Destiny usually averages about 80 mph. Ignore acceleration and assume the highway is a straight line.
The time taken for Jada's and Destiny's travel are 0.5595hour and 0.3928 hour
Let us consider distance for which both had to travel be equal
Let this time be 't'
The total distance between them is 65 miles
It is given that speed of Jada and Destiny are 60 and 80 mph
It is also given Destiny starts the journey 10 minutes later, hence her time be t-10 mins
But as all units are in hour , we must convert 10 mins to hour,
10 mins = 0.1667 hours
there Destiny's time of travel = t - 0.1667
We know that distance = speed x time
Therefore, total distance = distance travelled by Jada+ Distance travelled by Destiny
65 = 60 x t + 80 x(t-0.1667)
65 = 60t + 80t - 13.336
78.336 = 140 t
t = 78.336/140 = 0.5595hr
t= 0.5595 hour
Time taken for Jada's travel = 0.5595 hours
Time taken for Destiny's travel = t-0.1667 =0.5595-0.1667 =0.3928 hour
Disclaimer:
Time has been assumed and question provided is incomplete
#SPJ9
What do extraversion, openness, conscientiousness, neuroticism, and agreeableness have in common
Extraversion, openness, conscientiousness, neuroticism, and agreeableness have common factors in that these are the part of "Big 5" personality traits.
What is psychology?The scientific study of the mind and behavior is called psychology. Psychologists are actively involved in researching and comprehending how the mind, the brain, and behavior work.
The "Big 5" interpersonal qualities include extraversion, openness, conscientiousness, neuroticism, and agreeableness. These characteristics have certain things in common.
Extraversion, openness, conscientiousness, neuroticism, and agreeableness all have the "Big 5" personality qualities in common.
These five traits combine to form "OCEAN"
To learn more about psychology from here, refer to the link;
https://brainly.com/question/7237731
#SPJ1
Where should be the best fit line be drawn on a scatterplot?
A. In the center of the data
b. below the data
c. above the data.
d. none of these
A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.
What is line of best fit?A straight line with the best fit is one that minimizes the distance between it and some data.
In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.
It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.
Thus, none of the options are correct, the correct one is d.
For more details regarding line of best fit, visit:
https://brainly.com/question/14279419
#SPJ1
Why is acceleration a vector quantity?
Answer:
Explanation:
Because velocity has both magnitude and direction, it is called a vector quantity; acceleration is also a vector quantity and must account for changes in both the magnitude and direction of a velocity.
the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.
Answer:
N1 Sin θ1 = N2 sin θ2 Snell's equation
Sin θ2 = 1 / 1.33 * Sin 40
Sin θ2 = .752 * .643 = .483
θ2 = 28.9 deg
For a truck moving at constant speed...
1. the distances traveled during each time period are the same. 2. the direction traveled during each time period must be the same.
3. the truck must accelerate.
4. all of these.
Answer:
1.) the distances travelled during each time period are the same
Explanation:
1.) is correct. If the speed is constant, the truck is moving the same distance per every time period. For example, if the truck is moving at 50 miles/hour, the truck will always travel 50 miles per every 1 hour.
2.) is incorrect. Unlike the velocity, speed is non-directional. This means a truck can maintain a constant speed regardless of its orientation.
3.) is incorrect. Acceleration is the rate at which the velocity/speed changes. If the speed is constant, the acceleration is 0.
4.) is incorrect.
A box is pushed 52 m by a mover. The amount of work done was 2,160 J. How much force was exerted on the box
Answer: The force exerted on the box was 41 N.
Explanation: The amount of work done is equal to the force exerted on the object times the distance it was moved. In this case, the force was 41 Newtons and it was moved 52 meters, so the work done was 2160 Joules. Divide 2160/52.
147 The role of inductance is equivalent to: A. Inertia C. Energy D. None of these B. Force D. Momentum
The answer is A. inerta
.....
(ii) Which arrow shows the direction of the force of the spring on the ball? Tick the correct box
does anyone know how yo resolve this?
Brine is used in a chilled water heat exchanger.
Mass flow of brine = 208.75 lb / min
Heat transferred to brine = 5771.9375 Btu/min
Mass flow rate of water in lb/min = 288.597 lb/min
Mass flow rate of water in gpm = 34.5625 g
1. Mass flow of brine
1gm = 8.35 lb / min
Therefore, 25 gm = 25 * 8.35 = 208.75 lb / min
2. Heat transferred to brine = mbrine * Cbrine (T0 – Ti)
= 208.75 * 0.79 (35 - 0)
= 5771.9375 Btu/min
3. Heat lost by water = Heat gained by brine
Mwater * Cwater (Ti - T0) = 5771.9375
Mwater = 5771.9375 / (1 * (55 - 35)) = 288.597 lb/min
4. Mass flow rate of water = 288.597 / 8.35 = 34.5625 g
To know more about Mass flow rate
https://brainly.com/question/13348162
#SPJ1
Three point charges, 1=15.4 μC, 2=−34.6 μC, and 3=87.3 μC, are arranged as shown in the figure. The lengths and both equal 70.1 cm. Calculate the electric potential at point A.
Having come late to practice, a baseball player is forced to run from one side of the 100-meter field and back three times, which takes him 345 seconds. What is his average velocity throughout the task?
The average velocity for completing three rounds of the basketball court would be zero as initial and final position would be zero and the average speed would be 3.28 m/s.
What is average velocity ?Average velocity is defined as the total displacement divided by the total time take to compete the total displacement.
What is average speed ?Average speed is defined as the total distance divided by the total time take to compete the total distance.
Given:
Side of the baseball court = 100 meter
Total time taken to complete three rounds of the basketball court = 375 seconds
Total distance traveled by the player can be measured using the given side of the basketball court.
First we will find the parameter of the court,
Parameter of the court = 4 times the side of basketball court
Parameter of the basketball court = 4 × 100
Parameter of the basketball court = 400 metre
The player goes for 3 rounds of the basketball court which makes the total distance three times the parameter of the basketball court.
Total distance traveled by the basketball player = 3 × 400
Total distance traveled by the basketball player = 1200 metre
Average velocity is displacement divided by time taken.
Total displacement = 0 metre
As the player reaches the same position from where he started so the total displacement is zero.
Therefore, average velocity = 0/365
average velocity = 0 m/s
Average speed = 1200/365
Average speed = 3.28 m/s
Learn more about average velocity here:
https://brainly.com/question/862972
#SPJ9
Two point charges, A and B, are separated by 6 cm. The attractive force between them is 20 N. Find the force between them when they are separated instead by 12 cm. The charges are brought back to their original 6 cm separation, but the magnitude of charge A is doubled. Find the force between them. What would the force become if charge B is doubled as well?
The force between them when they are separated instead by 12 cm is 5 N.
The force between them when charge A is doubled is 40 N.
The force becomes 80 N if charge B is doubled as well.
Force between two charges
The force between two charge is determined from Coulomb's law of electrostatic force.
f = kq²/r²
when the distance, r is double the force reduces by 4;
f = kq²/(2r)²
f = kq²/4r²
New attractive force when the distance is 12cm, = 20 N/4 = 5 N
Magnitude of force when one of the charge is doublef = k(2q₁)(q₂)/r²
f = 2k(q₁q₂)/r²
New force = 2 x 20 N = 40 N
When charge B is doubled as wellf = k(2q₁)(2q₂)/r²
f = 4k(q₁q₂)/r²
New force = 4 x 20 N = 80 N
Thus, the force between them when they are separated instead by 12 cm is 5 N.
The force between them when charge A is doubled is 40 N.
The force becomes 80 N if charge B is doubled as well.
Learn more about force between charges here: https://brainly.com/question/17692887
#SPJ1
Which terms describe this graph? (Choose all that apply)
negative correlation
linear
inversely proportional relationship
no correlation
non-linear
directly proportional relationship
The term that describes the given graph is a negative correlation, linear, inversely proportional relationship
Regression evaluation is a similar method for inspecting the connection between a final results variable and one or extra threat elements or confounding variables (confounding is mentioned later). The end result variable is likewise referred to as the reaction or based variable, while the threat elements and confounders are referred to as predictors, explanatory variables, or unbiased variables. The based variable in regression evaluation is indicated with the aid of using "Y," whilst the unbiased variables are denoted with the aid of using "X."
The path of the hyperlink is indicated with the aid of using the signal of the correlation coefficient. The correlation coefficient's price displays the electricity of the hyperlink.
It is vital to spotlight that whilst there can be a non-linear dating among non-stop variables, calculating a correlation coefficient does now no longer display this. As an end result, it's miles usually vital to investigate the statistics well earlier than setting up a correlation coefficient. Graphical representations are very powerful for investigating relationships among variables.
Learn more about Regression evaluation here:
brainly.com/question/28203001
#SPJ1
Calculate the frequency of a 1.77-Angstrom x-ray photon.
The frequency of a 1.77-Angstrom x-ray photon is 1.694×10^18hz.
AS, we can see, the wavelength given of x ray photon
[tex]\lambda[/tex]=1.77-Angstrom = 1.77×10^-10
we know the relationship betwee frequency and lambda
c=λν
ν=c/[tex]\lambda[/tex]
ν is frequency , [tex]\lambda[/tex] is wavelength, and c is speed of light
c= 3×10^8m/s
now put the value in equation:
ν= 3×10^8m/s÷1.77×10^-10
ν=1.694×10^18hz
When a wave travels from one place to another, its frequency describes how frequently a medium particle vibrates. The frequency of a wave may be calculated mathematically by counting how many full oscillations are produced during its propagation in one unit of time. The number of waves that pass a given location in a unit of time may thus be used to characterize it.The unit of frequency is cycles per second or vibrations per second. Hertz (Hz), a different frequency measurement unit, is named after German scientist Heinrich Rudolf Hertz.To know more about frequency visit : https://brainly.com/question/14316711
#SPJ1
A model rocket is launched straight upward with an initial
speed of 50.0 m/s. It accelerates with a constant upward
acceleration of 2.00 m/s2 until its engines stop at an alti-
tude of 150 m. (a) What is the maximum height reached
by the rocket? (b) How long after lift-off does the rocket
reach its maximum height? (c) How long is the rocket in
the air?
The maximum height reached by the model rocket is 300.5 metre. (b) Time to reach maximum height is 8.5 seconds and (c) the time for which the model rocket was in air is 17.3 seconds.
What are Newton's law of motion?Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it.
Given:
Initial velocity of the model rocket = 50m/s
Constant acceleration of rocket = 2 u
Height to which acceleration was in account= 150m
First we need to find the final velocity at 150 metres.
We can do so simply by using Newton's third law of motion,
Velocity at 150 metre = under root (2500 + 600)
Velocity at 150 meter = 55.7
Maximum height height reached by the model rocket can be find using the equation for max height.
.i.e. maximum height = u × u/2g + initial distance traveled
maximum height = 55.7×55.7/19.6 + 150
maximum height = 156.5 + 150
Maximum height= 300.5 m
Time taken to reach maximum height = time taken before acceleration stops + time after which acceleration stops
Time taken to reach maximum height = 5.7/2 + 55.7/9.8
Time taken to reach maximum height = 2.85 + 5.7
Time taken to reach maximum height = 8.5 seconds
The rocket will be air for the time = time to reach maximum height + time to fall to the ground
The rocket will be air for the time = 8.5+ 7.8
The rocket will be air for the time = 17.3 seconds.
Therefore, the maximum height reached by the model rocket is 300.5 meter, time to reach maximum height is 8.5 seconds and the time for which the model rocket was in air is 17.3 seconds.
Learn more about Newton's law of motion here:
https://brainly.com/question/15280051
#SPJ9
It takes less force to push an empty wagon than a full one
O First Law of Motion
O Second Law of Motion
O Third Law of Motion
O Law of Gravity
Answer:
Third law of motion
Explanation:
because his third law states that for every action (force) in nature there is an equal and opposite reaction. so when the wagon is empty you only have to give a less power
please make my answer as brainelist
what does it mean by a wave has a period of 40 ms
Answer:
it means how fast the wave is traveling in which a 40 ms is as fast as a car traveling
Platinum has a mass of 107.25 g and a volume of 5 cm3. What is the density of platinum?
Answer:
D=2145g/100cm cubed
Explanation:
D=M/V
D=107.25g/5cm cubed
D=2145g/100cm cubed
A jet aircraft is accelerating at 3.8 m/s2 as it climbs at an angle of 18∘ above the horizontal. (a) Determine the magnitude of the total force that the cockpit seat exerts on the 76- kg pilot? (b) Determine the angle between the positive x axis and the total force that the cockpit seat exerts on the 76- kg pilot, measured counterclockwise.
a. The magnitude of the total force that the cockpit seat exerts on the 76- kg pilot is 288.8 N.
b. The angle between the positive x axis and the total force that the cockpit seat exerts on the 76- kg pilot is 67⁰.
Force exerted on the pilot by the cockpit
The force exerted on the pilot by the cockpit is calculated as follows;
F = ma
where;
m is mass of the pilot
a is acceleration of the jet
F = 3.8 m/s² x 76 kg
F = 288.8 N
The total force exerted on the pilot is equal to the normal reaction of the pilot.
F = Fn
F = mg cosθ
cos θ = F/mg
cos θ = (288.8) / (76 x 9.8)
cos θ = 0.3878
θ = arc cos (0.3878)
θ = 67⁰
Thus, the magnitude of the total force that the cockpit seat exerts on the 76- kg pilot is 288.8 N.
The angle between the positive x axis and the total force that the cockpit seat exerts on the 76- kg pilot is 67⁰.
Learn more about total force exerted here: https://brainly.com/question/388851
#SPJ1
The Environmental Justice Movement recognizes that historically environmental burdens are often borne by
The Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.
In order words, it gives fair treatment of justice to its system socially, economically, racially and environmental wise
What is environmental justice?Environmental justice can simply be defined as the act of being fair to everyone in the environment in aspect of life; be it economically, socially, racially, or even origin wise
This movement of environmental justice is characterized by treating everyone equally regardless of the similarities and differences which exist between nations, countries, individuals, organizations.
For every system who obvserves this impartial movement, they usually, frequently and most of the time gives balanced humanitarian service which helps to promote them in aspect of life as this does not discriminate anyone in any manner
So therefore, the Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.
Learn more about environmental justice:
https://brainly.com/question/17160849
#SPJ1
Part A
From the table, what type of correlation is there between the length of the semimajor axis and the orbital period?
correlation between the length of the semimajor axis and the orbital period is given by Kepler's 3rd law P² = kA³
Kepler's 3rd law is given as
P² = kA³
where
P = period, days
A = semimajor axis, AU
k = constant
Given: for mars
P = 687 days
A = 1.52 AU
Therefore
k = P²/A³
= 687²/1.52³
= 1.3439 x 10⁵ days²/AU³
The third rule of Kepler, sometimes known as the law of harmonies, compares a planet's orbital period and radius to those of other planets. The third law compares the velocity characteristics of many planets, in contrast to Kepler's first and second laws, which describe the motion characteristics of a single planet. The ratio of the squares of the periods to the cubes of their average distances from the sun is compared for each planet individually.To know more about Kepler's 3rd law visit : https://brainly.com/question/11168300
#SPJ1
Answer: There is a positive correlation. A longer semimajor axis corresponds to a longer orbital period.
Explanation:
Suppose Thomas wants to experiment on a homemade trebuchet. He wants to find at which angle would result in the furthest thrown projectile. Help Thomas put and find a way to test this experiment without having to build and launch the projectiles over and over and explain your process. THIS IS DUE IN A FEW HOURS
45º angle will result in the trebuchet’s furthest thrown projectile.
It is acceptable to infer from the results shown in the demonstration on Interactive Physics that as the weight of a counterweight on a trebuchet rises, so too should the projectile's range. Except for the fact that the distance did not rise linearly but rather more quadratically, the results support the theory. The results showed that the distance rose as the weight of the trebuchet's counterweight was increased in steps of 5 kilograms, starting at 20 kilograms and ending at 200 kilograms.
Each time, the projectiles were launched from the trebuchet at a 45-degree angle, and their distances typically followed the equation -8.1551E-4x2 +.304388x + 8.12756 (where x is the mass of the counterweight). The graph was thought to be more quadratic than linear because gravity has more time to work against the projectile and pull it down to the earth the longer it is in the air. Therefore, as additional mass is applied and the projectile is in the air for a longer period of time, the projectile distances would not grow as quickly. These findings back up Newton's Third Law of Motion as well as earlier, historical investigations.
Thus, Thomas should launch the trebuchet at a 45º angle to get the farthest thrown projectile.
Learn more about Trebuchet here:
https://brainly.com/question/3876283
#SPJ9
An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form.
Explanation:
An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form. just use the formula, if you use formula you will know how to do.
The object's acceleration at t = 5 seconds would be 2 meters/second².
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
An object's position in a given coordinate system is described by the vector r = t² i - (3t + 3) j,
assuming the object moves without air resistance.
displacement = t² i - (3t + 3) j
velocity = 2t i -3 j
acceleration = 2i
Thus, the object's acceleration at t = 5 seconds would be 2 meters/second².
To learn more about acceleration from here, refer to the link;
brainly.com/question/2303856
#SPJ1
Force of gravity between pairs of objects
The force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
We have a Pair of objects.
We have to discuss about the force of gravity between them.
What is Gravity ?In physics, gravity is a fundamental interaction which causes mutual attraction between all things with mass or energy.
According to the question -
Assume that the mass of objects are m and M. They are separated by distance r apart.
According to the Newton's law of gravitation - the force of gravity between the two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the force of gravity between m and M will be -
[tex]$F = \frac{GMm}{r^{2} }[/tex]
Hence, the force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
To solve more questions on gravity, visit the link below-
https://brainly.com/question/24299568?referrer=searchResults
#SPJ1