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On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is


A) g/4.
B) g/2.
C) g/ On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is A) g/4. B) g/2. C) g/ . D) g . E) 2g. .
D) g On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is A) g/4. B) g/2. C) g/ . D) g . E) 2g. .
E) 2g.

F) C) and D)
G) A) and B)

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A cat runs along a straight line (the x-axis) from point A to point B to point C, as shown in the figure. The distance between points A and C is 5.00 m, the distance between points B and C is 10.0 m, and the positive direction of the x-axis points to the right. The time to run from A to B is 20.0 s, and the time from B to C is 8.00 s. As the cat runs along the x-axis between points A and C (a) what is the magnitude of its average velocity? (b) what is its average speed? A cat runs along a straight line (the x-axis) from point A to point B to point C, as shown in the figure. The distance between points A and C is 5.00 m, the distance between points B and C is 10.0 m, and the positive direction of the x-axis points to the right. The time to run from A to B is 20.0 s, and the time from B to C is 8.00 s. As the cat runs along the x-axis between points A and C (a) what is the magnitude of its average velocity? (b) what is its average speed?

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(a) 0.179 ...

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The position of an object is given by The position of an object is given by where and x and t are in SI units. What is the instantaneous acceleration of the object when A) -13 m/s<sup>2</sup> B) 2.9 m/s<sup>2</sup> C) 4.6 m/s<sup>2</sup> D) 13 m/s<sup>2</sup> where The position of an object is given by where and x and t are in SI units. What is the instantaneous acceleration of the object when A) -13 m/s<sup>2</sup> B) 2.9 m/s<sup>2</sup> C) 4.6 m/s<sup>2</sup> D) 13 m/s<sup>2</sup> The position of an object is given by where and x and t are in SI units. What is the instantaneous acceleration of the object when A) -13 m/s<sup>2</sup> B) 2.9 m/s<sup>2</sup> C) 4.6 m/s<sup>2</sup> D) 13 m/s<sup>2</sup> The position of an object is given by where and x and t are in SI units. What is the instantaneous acceleration of the object when A) -13 m/s<sup>2</sup> B) 2.9 m/s<sup>2</sup> C) 4.6 m/s<sup>2</sup> D) 13 m/s<sup>2</sup> and x and t are in SI units. What is the instantaneous acceleration of the object when The position of an object is given by where and x and t are in SI units. What is the instantaneous acceleration of the object when A) -13 m/s<sup>2</sup> B) 2.9 m/s<sup>2</sup> C) 4.6 m/s<sup>2</sup> D) 13 m/s<sup>2</sup>


A) -13 m/s2
B) 2.9 m/s2
C) 4.6 m/s2
D) 13 m/s2

E) A) and B)
F) B) and D)

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The position of an object as a function of time is given by The position of an object as a function of time is given by where and (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds. where The position of an object as a function of time is given by where and (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds. The position of an object as a function of time is given by where and (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds. The position of an object as a function of time is given by where and (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds. and The position of an object as a function of time is given by where and (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds. (a) Find the instantaneous acceleration at t =2.4 s. (b) Find the average acceleration over the first 2.4 seconds.

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(a) 44 m/ ...

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An object is moving with constant non-zero acceleration along the +x-axis. A graph of the velocity in the x direction as a function of time for this object is


A) a horizontal straight line.
B) a vertical straight line.
C) a straight line making an angle with the time axis.
D) a parabolic curve.

E) B) and C)
F) C) and D)

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An airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of An airplane that is flying level needs to accelerate from a speed of 2.00 × 10<sup>2</sup> m/s to a speed of while it flies a distance of 1.20 km. What must be the acceleration of the plane? A) 4.44 m/s<sup>2</sup> B) 2.45 m/s<sup>2</sup> C) 7.33 m/s<sup>2</sup> D) 5.78 m/s<sup>2</sup> E) 1.34 m/s<sup>2</sup> while it flies a distance of 1.20 km. What must be the acceleration of the plane?


A) 4.44 m/s2
B) 2.45 m/s2
C) 7.33 m/s2
D) 5.78 m/s2
E) 1.34 m/s2

F) C) and E)
G) B) and C)

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Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of and Betty has a speed of Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run? and Betty has a speed of Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of and Betty has a speed of Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run? Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run?

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The figure shows the velocity of a particle as it travels along the x-axis. What is the direction of the acceleration at t = 0.5 s? The figure shows the velocity of a particle as it travels along the x-axis. What is the direction of the acceleration at t = 0.5 s? A) in the +x direction B) in the -x direction C) The acceleration is zero.


A) in the +x direction
B) in the -x direction
C) The acceleration is zero.

D) A) and B)
E) B) and C)

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The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle? The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle?

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(a) 1.0 m/...

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The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true about these two vehicles since time t = 0? The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true about these two vehicles since time t = 0? A) The truck will have traveled further than the car. B) The car will have traveled further than the truck. C) The truck and the car will have traveled the same distance. D) The car will be traveling faster than the truck.


A) The truck will have traveled further than the car.
B) The car will have traveled further than the truck.
C) The truck and the car will have traveled the same distance.
D) The car will be traveling faster than the truck.

E) All of the above
F) A) and D)

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A soccer ball is released from rest at the top of a grassy incline. After 8.6 seconds, the ball travels 87 meters and 1.0 s after this, the ball reaches the bottom of the incline. (a) What was the magnitude of the ball's acceleration, assume it to be constant? (b) How long was the incline?

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The figure shows a graph of the velocity as a function of time for a basketball player traveling up and down the court in a straight-line path. For the 10 s shown on the graph, find (a) the net displacement of the player. (b) the total distance run by the player. The figure shows a graph of the velocity as a function of time for a basketball player traveling up and down the court in a straight-line path. For the 10 s shown on the graph, find (a) the net displacement of the player. (b) the total distance run by the player.

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If the fastest you can safely drive is If the fastest you can safely drive is what is the longest time you can stop for dinner if you must travel in total? A) 1.0 h B) 1.3 h C) 1.4 h D) You can't stop at all. what is the longest time you can stop for dinner if you must travel If the fastest you can safely drive is what is the longest time you can stop for dinner if you must travel in total? A) 1.0 h B) 1.3 h C) 1.4 h D) You can't stop at all. in If the fastest you can safely drive is what is the longest time you can stop for dinner if you must travel in total? A) 1.0 h B) 1.3 h C) 1.4 h D) You can't stop at all. total?


A) 1.0 h
B) 1.3 h
C) 1.4 h
D) You can't stop at all.

E) A) and D)
F) All of the above

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The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)


A) The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)
B) The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)
C) The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)
D) The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)
E) The figure shows the graph of the position x as a function of time for an object moving in the straight line (the x-axis) . Which of the following graphs best describes the velocity along the x-axis as a function of time for this object? A) B) C) D) E)

F) B) and E)
G) A) and C)

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The motion of a particle is described in the velocity versus time graph shown in the figure. We can say that its speed The motion of a particle is described in the velocity versus time graph shown in the figure. We can say that its speed A) increases. B) decreases. C) increases and then decreases. D) decreases and then increases.


A) increases.
B) decreases.
C) increases and then decreases.
D) decreases and then increases.

E) B) and C)
F) A) and B)

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An object starts from rest at time t = 0.00 s and moves in the +x direction with constant acceleration. The object travels 12.0 m from time t = 1.00 s to time t = 2.00 s. What is the acceleration of the object?


A) -12.0 m/s2
B) 24.0 m/s2
C) -4.00 m/s2
D) 4.00 m/s2
E) 8.00 m/s2

F) B) and C)
G) C) and D)

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If an object is accelerating toward a point, then it must be getting closer and closer to that point.


A) True
B) False

C) A) and B)
D) undefined

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A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is Consider all quantities as positive in the upward direction. The velocity of the ball when it is above the ground is closest to A) -38 m/s. B) -30 m/s. C) -23 m/s. D) -15 m/s. E) -45 m/s. Consider all quantities as positive in the upward direction. The velocity of the ball when it is A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is Consider all quantities as positive in the upward direction. The velocity of the ball when it is above the ground is closest to A) -38 m/s. B) -30 m/s. C) -23 m/s. D) -15 m/s. E) -45 m/s. above the ground is closest to


A) -38 m/s.
B) -30 m/s.
C) -23 m/s.
D) -15 m/s.
E) -45 m/s.

F) B) and D)
G) A) and C)

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Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct?


A) Both its acceleration and its velocity are positive.
B) Both its acceleration and its velocity are negative.
C) Its acceleration is positive but its velocity is negative.
D) Its acceleration is negative but its velocity is positive.

E) A) and D)
F) All of the above

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A toy rocket is launched vertically from ground level (y = 0.00 m) , at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 72 m and acquired a velocity of A toy rocket is launched vertically from ground level (y = 0.00 m) , at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 72 m and acquired a velocity of The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to A) 48 m/s B) 44 m/s C) 39 m/s D) 54 m/s E) 59 m/s The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to


A) 48 m/s
B) 44 m/s
C) 39 m/s
D) 54 m/s
E) 59 m/s

F) A) and B)
G) C) and D)

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