The position-time equation of motion for a bunny hopping across
a yard is
x = 8.3 m+ (2.2 m/s)t
What is the initial position of the bunny?
Answer:
8.3 m
Explanation:
The initial position of the bunny is at time t = 0
x = 8.3 + 2.2 (0) = 8.3 m
The initial position of a bunny hopping across a yard is 8.3 meters.
What is the position?It is the location of the object in relation to time, when the object starts moving it is changing its position in relation to time. When the position of an object keeps changing then the displacement of an object can be calculated as the reference point is necessary to calculate the position, and it also shows the direction, therefore, it is a vector quantity. The graph of position and time gives us the velocity of the object.
Given: The position time equation of the object;
x = 8.3 + 2.2 t (x is the distance / position, t is time in seconds)
so for the initial position, time will be zero (t = 0);
Therefore, at t = 0 the position will be;
x = 8.3 + 2.2 ×0
x = 8.3 meters
Hence, the initial position of the bunny hopping across a yard is 8.3 meters.
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What is a magnitude of the vectors for A and B?
A vector is a physical quantity that has both magnitude and direction
What is the magnitude of a vector?A two dimensional vector represented by r = xi + yj has the magnitude r = √(x² + y²) where
x = x component of vector r and y = y component of vector r.Also, a three dimensional vector represented by r = xi + yj + zk has the magnitude r = √(x² + y² + z²) where
x = x component of vector r y = y component of vector r and z = z component of vector r.Given a vector r = 3i + 4j, we find its magnitude thus r = √(x² + y²) where
x = 3 and y = 4So, r = √(x² + y²)
r = √(3² + 4²)
r = √(9 + 16)
r = √25
r = 25 units
Also, given a vector r = 3i + 4j + 5k, we find its magnitude thus r = √(x² + y² + z²) where
x = 3 y = 4 andz = 5So, r = √(x² + y² + z²)
r = √(3² + 4² + 5²)
r = √(9 + 16 + 25)
r = √(25 + 25)
r = √50
r = 5√2 units
So,
The magnitude of a two dimensional vector represented by r = xi + yj is r = √(x² + y²) and The magnitude of a three dimensional vector represented by r = xi + yj + zk is r = √(x² + y² + z²)Learn more about magnitude of a vector here:
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If a small motor does 200 J of work to move a toy car 40 m, what force does it exert?
The force exerted during a work of 200 J done to move a toy car 40 m is 5 N
W = F * d
W = Work done
F = Force
d = Distance
W = 200 J
d = 40 m
F = W / d
F = 200 / 40
F = 5 N
The force exerted to move an object is work done. It is denoted as W. Its unit is Joules.
Therefore, the force exerted is 5 N
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Which quantity or quantities is/are increasing for the object represented by Line B?
(1 point)
O velocity and acceleration
O velocity and position
O velocity only
velocity, position, and acceleration
Answer:
Explanation:
velocity and position
Answer:
A. Velocity and position
Took the test.
Which unit is not a unit of velocity
Answer:
m/s^2
Explanation:
m/s^2 is a unit of acceleration.
What does a coat do?
O Coats speed up heat transfer.
O Coats make people cooler.
O Coats slow heat transfer.
O Coats make people warmer.
Answer: Coats make people warmer.
Explanation: Coats help keep us warm due to the fillings inside the materials.
A rock is dropped from a sea cliff, and the sound of it
striking the ocean is heard 2.7 s later. If the speed of sound is 340 m/s, how high is the cliff?
The height of the cliff is 88 m.
The initial velocity of the rock, when it is dropped is V(i) = 0 m/s.
The sum of the time taken by the rock to reach the surface of the ocean from the sea cliff and the time taken by the sound of the splash of the rock to the ears of the person who threw the rock is t = 2.7 s.
The speed of sound in air is V(s) = 340 m/s.
The acceleration due to gravity is g = 10 m/s².
The displacement made by the rock during this period will be as follows if we use the kinematic equation for translational motion under gravity and assume that the time it takes the rock to reach the ocean's surface is t₁ :
d = 0 − h = V(i) × t₁ + (1/2) × (− g ) × ( t₁ )²
Since the positions of the rock are taken from the surface of the ocean.
Substituting the values in the equation.
t₁ = √ [ 2h/g ]
( t₁ )² = 2h / g
Since sound moves through the medium at a constant speed, the following is how long it will take for the sound to reach the rock-thrower:
t₂ = h / V(s)
h = V(s) × t₂
Therefore,
( t₁ )² = ( 2 × V(s) × t₂) / g
Now, since t = t₁ + t₂ , therefore, t₂ = t − t₁ .
( t₁ )² = ( 2 × V(s) × ( t - t₁ ) ) / g
( t₁ )² = 2 × ( 340 ) ×( 4.5 − t₁ ) / 10
( t₁ )² = 306 − 68 t₁
Now,
( t₁ )² - 306 + 68t₁ = 0
By using the quadratic formula,
t₁ = { − 68 ± √ [( 68 )² − 4 × ( 1 ) × ( − 306 )] } / 2 × ( 1 )
t₁ = − 68 ± 76.47 / 2
( t₁ = − 68 + 76.47 / 2 = 4.24 s) and;
( t₁ = − 68 − 76.47 / 2 = − 72.24 s )
Since time can't be negative,
t₁ = 4.24 s.
Therefore,
t₂ = t − t₁
t₂ = 4.5 s − 4.24 s
t₂ = 0.26 s
Now,
h = V(s) × t₂
h = ( 340 m / s ) × ( 0.26 s )
h ≈ 88 m
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Galileo carried out his seminal free-fall experiment using an inclined plane. Why is such an approach feasible, and some-
times preferable to the simple drop method, for determining g?
For determining g (gravity), seminal free-fall experiment using inclined plane is preferable to the simple drop method because in simple drop method there is resistance caused by air on the falling object whereas on the seminal free-fall method using inclined plane air resistance has little to no effect.
Galileo was an Italian scientist who combined theory with experiment. He was very much interested in understanding the movement and falling of objects.
Objects when falling down would accelerate quickly i.e., let’s take an object falling at the speed of x, after time t it would travel at 2x, after 2t it would be 4x. Therefore, it is difficult to time with accuracy. Thus, inclined plane would help to dilute the effects of gravitational force and reduce the time.
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1. A car having an initial velocity of 12 meters per
second east slows uniformly to 2 meters per
second east in 4.0 seconds. The acceleration of
the car during this 4.0-second interval is
Answer:
5/2m/s^2
Explanation:
Acceleration is change in velocity divided by change in time. You might have seen it written like this:
ΔV/Δt
in this case, your change in velocity is -10m/s and your change in time is 4s thus your acceleration is -5/2m/s^2
Question) A convex mirror has a radius of curvature of 28.4 cm. If you hold a 16-cm-long pencil 23.5 cm in front of the mirror, what will the image position and image height be?
I know the answer but I need the steps could anyone please help me asap?
Answer
di = -8.85 cm; hi = 6.0 cm
The distance of the image formed is -8.85 cm and the height of the image is 6.02 cm.
Image distanceThe position of the image formed is calculated as follows;
-1/f = 1/v + 1/u
where;
f is the focal length = r/2 = 28.4 cm /2 = 14.2 cmu is object distance = 23.5 cmv is the image distance1/v = -1/f - 1/u
1/v = -/14.2 - 1/23.5
1/v = -0.112975
v = -1/0.112975
v = -8.85 cm
Height of image formedThe height of the image formed is calculated as follows.
Use magnification equation;
image distance/object distance = image height / object height
v/u = hi/h0
8.85/23.5 = hi/16
hi = (8.85/23.5) x 16
hi = 6.02 cm
Thus, the distance of the image formed is -8.85 cm and the height of the image is 6.02 cm.
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a bus is about to leave in exactly 5 seconds. you are 20 meters away. how fast do you need to run to get to the bus? give your answer in m/s. round 2 significant figures
A bus is about to leave in exactly 5 seconds. You are 20 meters away. With a speed of 4 m/sec you will be able to catch the bus on time.
What do you understand by the term Distance, Speed and Time?By dividing the distance traveled by the time required to complete that distance, speed is calculated. For a specific distance, it provides the travel time / distance.
Speed and distance are tightly related, whereas time and distance have an inverse relationship. Speed times the passing of time equals distance.
Distance divided by speed is how time is calculated; as speed rises, time slows down, and vice versa.
What is the calculation for the above problem?Given
Time = 5 secs
Distance = 20 m
On putting the values in the given formula we get,
Speed = Distance / Time
Speed = 20 m / 5 secs
Speed = 4 m/secs
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Create a series of eight successive displacements that would program a robot to move in an octagonal path that is as close as you can get to approximating a circle. The robot should return to its starting point after the eighth displacement. What total distance does the robot move? Calculate the radius of the circle that has this distance as its circumference.
Answer:
Ex; If the robot traveled 20 cm around the octagon then the circle circumference = 20 cm
Use the equation circumference = 2 π radius to calculate radius(C = 2πr)
If circumference = 20cm; radius = circumference / ( 2 π) = 20/6.28= 3.18 cm. Use your scale to express your answer in meters, km, etc
now set the protractor distance measure as 3.18 cm, place the protractor's metal spike at the octagon center and draw the circle.
Explanation:
1. What if the acceleration of an object is equal to zero? Acceleration is still a constant, but it just happens to be zero. In this special case, what are the equations of motion?
Answer: zero acceleration is zero acceleration, not constant acceleration.
Explanation:
A peregrine falcon dives at a pigeon. The falcon starts downward from rest and falls with free-fall acceleration. If the pigeon is 68.6 m below the initial position of the falcon, how long does the falcon take to reach the pigeon? Assume that the pigeon remains at rest. The acceleration of gravity is 9.8 m/s².
The falcon take 14 seconds to reach the pigeon.
What are equation of motion ?A mathematical expression that expresses the location, speed, or acceleration of a body in relation to a specified frame of reference is called as Equation of motion,
By using equation of motion
s = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
where, s = total distance travelled by an object = 68.6 m
g = acceleration of gravity = 9.8m/[tex]s^{2}[/tex]
t = time taken to travel the distance = ?
Therefore, t = [tex]\sqrt{2s/g}[/tex]
t = [tex]\sqrt{2*68.6/9.8}[/tex]
t = 14 seconds
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A tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes. How far would it have traveled?
If a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes, then it would have traveled 37.49 meters
What is speed?The total distance covered by any object per unit of time is known as speed.
It depends only on the magnitude of the moving object.
As given in the problem a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes.
The distance traveled by the tumbleweed = speed ×time
= 16.3 meters/minute×minutes
=37.49 meters
Thus, the distance traveled would be 37.49 meters.
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What is the equation for velocity?
Velocity = distance + time
Velocity = distance / time
Velkocity = distnace - time
Velocity = distance * time
Answer:
The equation for velocity is: Velocity = distance / time. Velocity is a measure of the speed at which an object moves in a specific direction. The equation for velocity states that the velocity of an object is equal to the distance it travels divided by the time it takes to travel that distance. This equation can be used to calculate the velocity of an object if the distance it travels and the time it takes to travel that distance are known.
Explanation:
A car going initially with a velocity 13.5 m/s accelerates at a rate of 1.9 m/s2 for 6.2 s. It then accelerates at a rate of minus2.5 m/s2 until it stops. What is the total time from the start of the first acceleration until the car is stopped? (Write your answer to two decimal places and do not write unit)
The total time from the start of the first acceleration until the car is stopped is 16.31 s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the final velocity in the first 6.2 s Initial velocity (u) = 13.5 m/sAcceleration (a) = 1.9 m/s²Time (t) = 6.2 s Final velocity (v) = ?a = (v – u) / t
1.9 = (v – 13.5) / 6.2
Cross multiply
v – 13.5 = 1.9 × 6.2
v – 13.5 = 11.78
Collect like terms
v = 11.78 + 13.5
v = 25.28 m/s
How to determine the time to stop the car Initial velocity (u) = 25.28 m/sFinal velocity (v) = 0 m/sAcceleration (a) = -2.5 m/s² Time (t) =?a = (v – u) / t
Thus,
t = (v – u) / a
t = (0 – 25.28) / –2.5
t = 10.112 s
How to determine the total timeTime for the the first acceleration = 6.2 sTime to stop the car = 10.112 sTotal time =?Total time = 6.2 + 10.112
Total time = 16.31 s
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What element has 31 neutrons and is in group 10
Answer:
Nickel is the correct answer here.
According to Pascal, pressure applied to a fluid __.
According to Pascal, pressure applied to a fluid is transmitted equally in all directions.
P = F / A
P = Pressure
F = Force
A = Area
Pressure is in Pa ( Pascals ).
Force is in N ( Newtons )
Area is in m² ( Meter² )
Pascal's law states that, pressure applied to an incompressible fluid enclosed in a container is transmitted equally throughout the fluid without any change in magnitude.
Therefore, According to Pascal, pressure applied to a fluid is transmitted equally in all directions.
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Can anyone solve this problem?
The question has two parts
beginning with part 1:
R1 and R2 are in series
R3 and R4 are in series with each other
R5 and R6 are in series with each other
R3 and R4 are parallel to R5 and R6
it is given that R1=R2=R3=R4 =2 Ohm
R5=R7=1 Ohm
R6 = 3ohm
We know that resistance is the sum of resistances in series and reciprocal sum of resistances in parallel
R1+R2=2+2=4 ohm
R3+R4 = 2+2 = 4ohm
R5+R6 =1+3=4Ohm
R3 and R4 and R5 and r6 are in parallel = 4 x 4/4+4 = 16/8 = 2 ohm
Resultant resistance = 4 + 2 +1 =7 phms
In part 2 of the question,
R1=R7=2 ohm
R2=R3=R6 =1 ohm
R4=R5=3 ohm
R2,R3 are in series, R5 and R6 are in series
R2,R3 AND R4 and R5 ,R6 in parallel
R2+R3 = 1+1 =2 ohm
R5 +R6 = 3+1 =4 ohm
R2,R3 AND R4 and R5 ,R6 in parallel= 1/(1/2+1/4+1/3 )=v 1/(6+3+4)/12
=12/13
Resultant resistance = 2+2+12/13 =4.93 ohm
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We desire to make an LC circuit that oscillates at 100 Hz using an
inductance of
2.5H. We also need a capacitance of
The capacitance needed in the LC circuit is 1 μF.
Capacitance needed to make the LC circuitThe capacitance needed to make the LC circuit is calculated as follows;
capacitive reactance = inductive reactance
Xc = Xl
1/2πfC = 2πfL
2πfC(2πfL) = 1
4π²f²LC = 1
LC = 1/4π²f²
C = 1/(4π²f²L)
where;
L is the inductancef is the frequencyC is the capacitanceSubstitute the given parameter and solve for the capacitance as follows;
C = (1)/(4π² x 100² x 2.5)
C = 1.01 x 10⁻⁶ F
C ≈ 1 μF
Thus, the capacitance needed in the LC circuit is 1 μF.
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what is kineamatics (60 words)
Kinematics is the study of motion of an object without considering the forces that caused the object to move.
Kinematics is a branch of mechanics, which is used to study about mechanical bodies or mechanical systems without the reference of the body's/system's physical properties or the forces acting on it.
Kinematics models different motion mathematically with the help of algebra. Therefore, it is referred as geometry of motion. The modelling is done to calculate the various factors of motion such as speed, acceleration etc.
Therefore, Kinematics is the study of motion of an object without considering the forces that caused the object to move.
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why does the acceleration due to gravity have to be measured in an airless tube?
It is measured in the airless tube because there is no air to offer resistance to the fall of the object.
What is the acceleration due to gravity?The acceleration due to gravity refers to the acceleration that is imparted to a body because of its movement in the earth's gravitational field. Irrespective of mass, all objects move with the same acceleration in the earth gravitational field.
If air is present, air resistance makes it appear as if different masses are accelerated to different amounts. Thus, the acceleration due to gravity is measured in an airless tube the where there is no air to offer resistance to the fall of the object.
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Claudia is performing an experiment, testing to see if decreasing the temperature in which pea plants are growing makes them flower sooner. In this experiment, what are some values that Claudia will want to hold constant. (Choose all that apply)
a.which day the plants begin to flower
b.the amount of light the plants get
c.the temperature the plants are grown in
d.the type and amount of fertilizer used
e.the amount of water the plants get
Claudia is performing an experiment, testing to see if decreasing the temperature in which pea plants are growing makes them flower sooner which means that some values that Claudia will want to hold constant include the following below:
b.the amount of light the plants get.
d.the type and amount of fertilizer used.
e.the amount of water the plants get.
What is an Experiment?This refers to a procedure which is carried out by scientists in other to support or refute a hypothesis and is usually done in the laboratory. It is also used to ascertain the authenticity of a claim and consists of two types of variables which are constant and control variables.
The constant variables doesn't change and is applied uniformly to all the specimens. In this scenario they include the amount of light, fertilizer and water the plants gets.
Controlled variables are the ones which are changed and its varied application on different specimens are used to measure the effect and in this case an example is the temperature the plants are grown in because the test involves this parameter.
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a Think of a behavior that you have that you would like to change. How could
behavior modification, specifically positive reinforcement, to change
your behavior? What is
your positive reinforcer?
A part of me which I would love to change is over trusting people around me.
Behavior modification, particularly that of positive reinforcement can help anyone to shift balance by learning to control what stimulates the character.My positive drive which may likely repeat my old behavior is my hyperemmotionality Changing ones behavior through positive reinforcementIt happens that there is always a solution to every problem as long one one is willing to make an ammend. I as as person have been hurt many countless times by friends which I am giving my possible best to withdraw from over trusting someone who will later hurt me.
I have been able to modify this by making sure I am not too emotional on anything, keeping my words to myself and revealing my weaknesses to anyone.
So therefore, behavioral modification is very important to every individual who has a character that needs to be changed.
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How long does it take a skier to travel 547 m going 9.7 m/s?
Answer:
56.39 hours
Explanation:
I say this because to calculate how long something is traveling you have to divide the distance traveled by the rate or do distance/time
A cheetah can accelerate from rest to a speed of 30m/s in 7.0s . What is its acceleration?
The acceleration of the cheetah is 4.29 m/s².
What is acceleration?Acceleration can be defined as the rate of change of velocity.
To calculate the acceleration of theb cheetah, we use the formula below.
Formula:
a = (v-u)/t........... Equation 1Where:
a = Acceleration of the cheetahv = Final velocity of the cheetahu = Initial velocity of the cheetaht = time.From the question,
Given:
v = 30 m/su = 0 m/s (from rest)t = 7.0 sSubstitute these values into equation 1
a = (30-0)/7a = 4.29 m/s²Hence, the acceleration of the cheetah is 4.29 m/s².
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If there are 7.5x1013 cells in a human body and the average cell diameter is 1×10-5 meter, how long would the string of cells be if you stretched them out in a single line?
The length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.
What is human cells?
Cells are the basic building blocks of all living things, including humans. The human body is composed of trillions of cells with average cell diameter of 1 x 10⁻⁵ m.
The length of the total cells in the human body when all the cells are stretched out is calculated as follows;
total length of the cells = average diameter of a cell x number of cells
total length of the cells = 1 x 10⁻⁵ m x 7.5 x 10¹³
total length of the cells = 7.5 x 10⁸ m
Thus, the length of the total cells in the human body when all the cells are stretched out is 7.5 x 10⁸ m.
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The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 132-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.
The moment of the force about point A found using the moments formula, [tex]|M| = |F| \cdot \: d \perp[/tex] is 67.695 ft–lb.
What is the moment of a force?The moment of a force is the turning effect of the force about a point.
The moment of the force is given by the formula;
[tex]|M| = |F| \cdot \: d \perp[/tex]
Where;
d = The perpendicular distance from the point to the line of action of the force.
The length of the sides of ∆ABC are;
AB = √(20.5²+4.38²) ≈ 20.9626907
BC = √(17.2²+7.62²) ≈ 18.812347
AC = √((7.62+4.38)²+(20.5-17.2)²) ≈ 12.4454811
The semi–perimeter of triangle ABC = (20.9626907 + 18.812347 + 12.4454811)/2 ≈ 26.1102594
The area, A, of triangle ∆ABC found using Heron's formula is therefore;
A = √((26.1102594×(26.1102594-20.9626907)×(26.1102594-18.812347)×(26.1102594-12.4454811)) ≈ 115.773
The perpendicular distance, d, from point A to BC is therefore;
d = A/(BC)
Which gives;
d = 115.773/18.812347 ≈ 6.15409696
The magnitude of the moment about point A is therefore;
M = 132 lb × 0.51284138 ft. ≈ 67.695 ft.–lb
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Which of the following statements is TRUE?
A. When muscles contract they become longer.
B. Involuntary muscle can be identified by its unique striped appearance.
C. The biceps and quadriceps are an antagonistic pair.
D. The origin of a muscle is attached to the bone that does NOT move.
