Question 1

An electron, starting from rest and moving with a constant acceleration, travels 2.0 cm in 5.0 m/s. What is the magnitude of this acceleration?

Accepted Answer

A) 2.5 km/s2 
B) 0.80 km/s2 
C) 1.6 km/s2 
D) 1.3 km/s2 
E) 3.2 km/s2 
A) 2.5 km/s2 
B) 0.80 km/s2 
C) 1.6 km/s2 
D) 1.3 km/s2 
E) 3.2 km/s2 C

Question 2

The position of a particle moving along the y axis has a position given by: $y=0.20 \mathrm{~m}+\left(8.0 \frac{\mathrm{~m}}{\mathrm{~s}}\right) t-\left(10 \frac{\mathrm{~m}}{\mathrm{~s}^{2}}\right) \mathrm{t}^{2}$ Is there any time interval during which the particle is not moving?

Accepted Answer

A) Yes, from 0.60 s to 1.00 s. 
B) Yes, from 0.795 s to 0.805 s. 
C) Yes, at the time t = 0.80 s. 
D) No, the velocity is never zero. 
E) No, an instant is not the same as a time interval. 
A) Yes, from 0.60 s to 1.00 s. 
B) Yes, from 0.795 s to 0.805 s. 
C) Yes, at the time t = 0.80 s. 
D) No, the velocity is never zero. 
E) No, an instant is not the same as a time interval. E

Question 3

The small circles in the diagram below represent the positions along the x axis of a body at equal time intervals. Assume the body moves in a straight line.   This diagram is most likely to describe:

Accepted Answer

A) a swimmer swimming laps. 
B) an exercise on a rowing machine. 
C) a person on a treadmill. 
D) a tennis ball during a volley. 
E) a runner who tripped, fell, rose, and continued racing. 
A) a swimmer swimming laps. 
B) an exercise on a rowing machine. 
C) a person on a treadmill. 
D) a tennis ball during a volley. 
E) a runner who tripped, fell, rose, and continued racing. E

Question 4

A particle moving along the x axis has a position given by x = 54t - 2.0t3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct?

Accepted Answer

A) The particle remains at rest after t = 3.0 s. 
B) The particle no longer accelerates after t = 3.0 s. 
C) The particle can be found at positions x < 0 m only when t < 0 s. 
D) All of the above are correct. 
E) None of the above is correct. 
A) The particle remains at rest after t = 3.0 s. 
B) The particle no longer accelerates after t = 3.0 s. 
C) The particle can be found at positions x < 0 m only when t < 0 s. 
D) All of the above are correct. 
E) None of the above is correct.

Question 5

Imagine that you are working at the Woomera rocket range. A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s2. At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves?

Accepted Answer

A) 1.9 km 
B) 1.3 km 
C) 1.6 km 
D) 1.0 km 
E) 2.1 km 
A) 1.9 km 
B) 1.3 km 
C) 1.6 km 
D) 1.0 km 
E) 2.1 km

Question 6

A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = -30 cm. What is the acceleration of the particle?

Accepted Answer

A) (-7.3 cm/s2) 
B) (-8.9 cm/s2) 
C) (-11 cm/s2) 
D) (-15 cm/s2) 
E) (-13 cm/s2) 
A) (-7.3 cm/s2) 
B) (-8.9 cm/s2) 
C) (-11 cm/s2) 
D) (-15 cm/s2) 
E) (-13 cm/s2)

Question 7

The equation that solves a problem is $\left(18 \frac{\mathrm{~m}}{\mathrm{~s}}\right)^{2}-\left(0 \frac{\mathrm{~m}}{\mathrm{~s}}\right)^{2}=2\left(3.0 \frac{\mathrm{~m}}{\mathrm{~s}^{2}}\right)(3.0 \mathrm{~m})$ . The problem is:

Accepted Answer

A) What is the initial velocity of a car that goes from rest to 18 m/s in 3.0 s? 
B) What is the final velocity of a car that goes from rest to 18 m/s in 3.0 s? 
C) What is the initial velocity of a car that accelerates at 18 m/s for 3.0 s? 
D) What is the final velocity of a car that accelerates at 3.0 m/s2 over a 6.0 m distance? 
E) What is the final velocity of a car that accelerates at 3.0 m/s2 over a 3.0 m distance? 
A) What is the initial velocity of a car that goes from rest to 18 m/s in 3.0 s? 
B) What is the final velocity of a car that goes from rest to 18 m/s in 3.0 s? 
C) What is the initial velocity of a car that accelerates at 18 m/s for 3.0 s? 
D) What is the final velocity of a car that accelerates at 3.0 m/s2 over a 6.0 m distance? 
E) What is the final velocity of a car that accelerates at 3.0 m/s2 over a 3.0 m distance?

Question 8

A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s. It strikes the ground 3.0 s later. Determine the initial height of the rock above the ground.

Accepted Answer

A) 44 m 
B) 14 m 
C) 74 m 
D) 30 m 
E) 60 m 
A) 44 m 
B) 14 m 
C) 74 m 
D) 30 m 
E) 60 m

Question 9

When starting from rest at the bottom of a straight road with constant upward slope, Joan bicycles to the top 50.0 s ahead of Sally, whose travel time is 5.00 minutes. What is the ratio of Joan's acceleration to Sally's acceleration?

Accepted Answer

A) 0.694 
B) 0.833 
C) 1.20 
D) 1.44 
E) 6.00 
A) 0.694 
B) 0.833 
C) 1.20 
D) 1.44 
E) 6.00

Question 10

A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point will the ball and stone pass each other?

Accepted Answer

A) 17 m 
B) 21 m 
C) 18 m 
D) 27 m 
E) 31 m 
A) 17 m 
B) 21 m 
C) 18 m 
D) 27 m 
E) 31 m

Question 11

Jane says that any change in velocity is directly proportional to the time interval over which the change took place. Dana says that is true only when the acceleration is constant. Which one, if either, is correct?

Accepted Answer

A) Dana, because it is true only when the acceleration is constant. 
B) Jane, because we can define ax, avg so that $\Delta$vx = ax, avg$\Delta$t. 
C) Jane, because ax, avg always is equal to   . 
D) All the other statements are correct. 
E) None of the other statements are correct. 
A) Dana, because it is true only when the acceleration is constant. 
B) Jane, because we can define ax, avg so that $\Delta$vx = ax, avg$\Delta$t. 
C) Jane, because ax, avg always is equal to   . 
D) All the other statements are correct. 
E) None of the other statements are correct.

Question 12

The position of a particle as it moves along the x axis is given by x = 15e-2t m, where t is in s. What is the acceleration of the particle at t = 1.0 s?

Accepted Answer

A) 22 m/s 
B) 60 m/s 
C) 8.1 m/s 
D) 15 m/s 
E) 35 m/s 
A) 22 m/s 
B) 60 m/s 
C) 8.1 m/s 
D) 15 m/s 
E) 35 m/s

Question 13

The graph below shows the velocity versus time graph for a ball. Which explanation best fits the motion of the ball as shown by the graph?

Accepted Answer

A) The ball is falling, is caught, and is thrown down with greater velocity. 
B) The ball is rolling, stops, and then continues rolling. 
C) The ball is rising, hits the ceiling, and falls down. 
D) The ball is falling, hits the floor, and bounces up. 
E) The ball is rising, is caught, and then is thrown down. 
A) The ball is falling, is caught, and is thrown down with greater velocity. 
B) The ball is rolling, stops, and then continues rolling. 
C) The ball is rising, hits the ceiling, and falls down. 
D) The ball is falling, hits the floor, and bounces up. 
E) The ball is rising, is caught, and then is thrown down.

Question 14

A cyclist starts down a hill with an initial speed of 2.0 m/s. She moves down the hill with a constant acceleration, arriving at the bottom of the hill with a speed of 8.0 m/s. If the hill is 12 m long, how long did it take the bicyclist to travel down the hill?

Accepted Answer

The answer of A cyclist starts down a hill with...

Question 15

The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2)m, where t is in s. What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

Accepted Answer

A) (-6.0 m/s) 
B) (-4.0 m/s) 
C) (-2.0 m/s) 
D) (-8.0 m/s) 
E) 8.0 m/s 
A) (-6.0 m/s) 
B) (-4.0 m/s) 
C) (-2.0 m/s) 
D) (-8.0 m/s) 
E) 8.0 m/s

Question 16

A particle is moving at constant velocity. Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s is 15.0 m. What is the slope of the position-time graph for this particle?

Accepted Answer

A) 0, since this is a constant velocity situation. 
B) 4.0 m/s 
C) 4.0 m/s2 
D) 9.0 m/s 
E) 12 m/s2 
A) 0, since this is a constant velocity situation. 
B) 4.0 m/s 
C) 4.0 m/s2 
D) 9.0 m/s 
E) 12 m/s2

Question 17

The position of a particle moving along the x axis is given by x = 6.0t2 -1.0t3, where x is in metres and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

Accepted Answer

A) 24 m 
B) 12 m 
C) 32 m 
D) 16 m 
E) 2.0 m 
A) 24 m 
B) 12 m 
C) 32 m 
D) 16 m 
E) 2.0 m

Question 18

A boat moves at 10.0 m/s relative to the water. If the boat is on the Brisbane river where the current is 2.0 m/s, how long does it take the boat to make a complete round trip of 1.00 km upstream followed by a 1.00 km trip downstream?

Accepted Answer

The answer of A boat moves at 10.0 m/s relative...

Question 19

In 20 minutes, Lucy ran 2.40 km on a treadmill facing due east. Relative to the gym, what were her displacement and average velocity during this time interval?

Accepted Answer

A) 0; 0 
B) 0; 2.00 m/s 
C) 2.40 km, east; 0 
D) 2.40 km, east; 2.00 m/s, east 
E) 2.40 km, west; 2.00 m/s, west 
A) 0; 0 
B) 0; 2.00 m/s 
C) 2.40 km, east; 0 
D) 2.40 km, east; 2.00 m/s, east 
E) 2.40 km, west; 2.00 m/s, west

Question 20

A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves the bench, to two significant figures, the magnitudes of his velocity and acceleration are:

Accepted Answer

A) 10 m/s; 9.8 m/s2. 
B) 9.0 m/s; 9.8 m/s2. 
C) 9.0 m/s; 9.0 m/s2. 
D) 1.0 m/s; 9.0 m/s2. 
E) 1.0 m/s; 9.8 m/s2. 
A) 10 m/s; 9.8 m/s2. 
B) 9.0 m/s; 9.8 m/s2. 
C) 9.0 m/s; 9.0 m/s2. 
D) 1.0 m/s; 9.0 m/s2. 
E) 1.0 m/s; 9.8 m/s2.

Exam 2: Motion in One Dimension

An electron, starting from rest and moving with a constant acceleration, travels 2.0 cm in 5.0 m/s. What is the magnitude of this acceleration?

The small circles in the diagram below represent the positions along the x axis of a body at equal time intervals. Assume the body moves in a straight line. This diagram is most likely to describe:

A particle moving along the x axis has a position given by x = 54t - 2.0t3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct?

Imagine that you are working at the Woomera rocket range. A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s2. At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves?

A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = -30 cm. What is the acceleration of the particle?

A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s. It strikes the ground 3.0 s later. Determine the initial height of the rock above the ground.

When starting from rest at the bottom of a straight road with constant upward slope, Joan bicycles to the top 50.0 s ahead of Sally, whose travel time is 5.00 minutes. What is the ratio of Joan's acceleration to Sally's acceleration?

A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point will the ball and stone pass each other?

Jane says that any change in velocity is directly proportional to the time interval over which the change took place. Dana says that is true only when the acceleration is constant. Which one, if either, is correct?

The position of a particle as it moves along the x axis is given by x = 15e-2t m, where t is in s. What is the acceleration of the particle at t = 1.0 s?

The graph below shows the velocity versus time graph for a ball. Which explanation best fits the motion of the ball as shown by the graph?

A cyclist starts down a hill with an initial speed of 2.0 m/s. She moves down the hill with a constant acceleration, arriving at the bottom of the hill with a speed of 8.0 m/s. If the hill is 12 m long, how long did it take the bicyclist to travel down the hill?

The position of a particle moving along the x axis is given by x = (21 + 22t - 6.0t2)m, where t is in s. What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

A particle is moving at constant velocity. Its position at t = 1.0 s is 3.0 m and its position at t = 4.0 s is 15.0 m. What is the slope of the position-time graph for this particle?

The position of a particle moving along the x axis is given by x = 6.0t2 -1.0t3, where x is in metres and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

A boat moves at 10.0 m/s relative to the water. If the boat is on the Brisbane river where the current is 2.0 m/s, how long does it take the boat to make a complete round trip of 1.00 km upstream followed by a 1.00 km trip downstream?

In 20 minutes, Lucy ran 2.40 km on a treadmill facing due east. Relative to the gym, what were her displacement and average velocity during this time interval?

A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves the bench, to two significant figures, the magnitudes of his velocity and acceleration are:

Physics and Measurement

Motion in Two Dimensions

Forces and Newtons Laws

Further Applications of Newtons Laws

Work, Force and Energy

Conservation of Energy

Linear Momentum and Collisions

Rotational Motion

Energy and Momentum in Rotating Systems

Gravity

Special Relativity

Fluid Statics

Fluid Dynamics

Solids

Oscillatory Motion

Wave Motion

Superposition and Interference

Heat and Temperature

Energy Transfer Processes and Thermodynamics

The Kinetic Theory of Gases

The Second Law of Thermodynamics, Heat Engines and Entropy

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