Question 1

The speed of an object is given by $$\nu = 5.00 t ^ { 2 } + 4.00 t$$ where v is in m/s and t is in s.What is the acceleration of the object at t = 2.00 s?

Accepted Answer

A) 5.00 m/s2 
B) 9.00 m/s2 
C) 10.0 m/s2 
D) 14.0 m/s2 
E) 20.0 m/s2 
A) 5.00 m/s2 
B) 9.00 m/s2 
C) 10.0 m/s2 
D) 14.0 m/s2 
E) 20.0 m/s2

Question 2

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 3

In 20 minutes,Kara 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 4

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 5

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 6

A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2.0 cm/s2.For the next 20 s,the acceleration of the particle is -1.0 cm/s2.What is the position of the particle at the end of this motion?

Accepted Answer

A) zero 
B) +3.0 m 
C) -1.0 m 
D) +2.0 m 
E) -3.0 m 
A) zero 
B) +3.0 m 
C) -1.0 m 
D) +2.0 m 
E) -3.0 m

Question 7

A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes.Her first lap is toward the north.Her displacement and average velocity are

Accepted Answer

A) 0;0. 
B) 0;2.38 m/s,south. 
C) 0;2.38 m/s,north. 
D) 1 000 m,south;2.38 m/s,south. 
E) 1 000 m,north;2.38 m/s,north. 
A) 0;0. 
B) 0;2.38 m/s,south. 
C) 0;2.38 m/s,north. 
D) 1 000 m,south;2.38 m/s,south. 
E) 1 000 m,north;2.38 m/s,north.

Question 8

Two children start at one end of a street,the origin,run to the other end,then head back.On the way back Joan is ahead of Mike.Which statement is correct about the distances run and the displacements from the origin?

Accepted Answer

A) Joan has run a greater distance and her displacement is greater than Mike's. 
B) Mike has run a greater distance and his displacement is greater than Joan's. 
C) Joan has run a greater distance,but her displacement is less than Mike's. 
D) Mike has run a greater distance,but his displacement is less than Joan's. 
E) Mike has run a shorter distance,and his displacement is less than Joan's. 
A) Joan has run a greater distance and her displacement is greater than Mike's. 
B) Mike has run a greater distance and his displacement is greater than Joan's. 
C) Joan has run a greater distance,but her displacement is less than Mike's. 
D) Mike has run a greater distance,but his displacement is less than Joan's. 
E) Mike has run a shorter distance,and his displacement is less than Joan's.

Question 9

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 10

Starting from rest,a car travels 1 350 meters in 1.00 minute.It accelerated at 1.0 m/s2 until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?

Accepted Answer

Question 11

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 12

An automobile manufacturer claims that its product will,starting from rest,travel 0.40 km in 9.0 s.What is the magnitude of the constant acceleration required to do this?

Accepted Answer

A) 9.9 m/s2 
B) 8.9 m/s2 
C) 6.6 m/s2 
D) 5.6 m/s2 
E) 4.6 m/s2 
A) 9.9 m/s2 
B) 8.9 m/s2 
C) 6.6 m/s2 
D) 5.6 m/s2 
E) 4.6 m/s2

Question 13

The equation that solves a problem is $$6.4 \mathrm {~m} = 20 \mathrm {~m} + 3.0 \frac { \mathrm { m } } { \mathrm { s } } ( 2.0 \mathrm {~s} ) - 4.9 \frac { \mathrm { m } } { \mathrm { s } ^ { 2 } } ( 2.0 \mathrm {~s} ) ^ { 2 }$$ .The problem is:

Accepted Answer

A) How far above its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
B) How far below its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
C) What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
D) What is the change in position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
E) What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground if its maximum height is 33.6 m? 
A) How far above its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
B) How far below its initial position does a rock travel in 2.0 s when thrown up from a point 40 m above the ground? 
C) What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
D) What is the change in position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground 2.0 s after it is released? 
E) What is the position relative to the ground of a rock thrown up at 3.0 m/s from a roof 20 m above the ground if its maximum height is 33.6 m?

Question 14

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 15

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.

Question 16

An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point.What is the initial (launch)speed of the object?

Accepted Answer

A) 35 m/s 
B) 25 m/s 
C) 30 m/s 
D) 21 m/s 
E) 17 m/s 
A) 35 m/s 
B) 25 m/s 
C) 30 m/s 
D) 21 m/s 
E) 17 m/s

Question 17

A car travels north at 30 m/s for one half hour.It then travels south at 40 m/s for 15 minutes.The total distance the car has traveled and its displacement are:

Accepted Answer

A) 18 km;18 km S. 
B) 36 km;36 km S. 
C) 36 km;36 km N. 
D) 90 km;18 km N. 
E) 90 km;36 km N. 
A) 18 km;18 km S. 
B) 36 km;36 km S. 
C) 36 km;36 km N. 
D) 90 km;18 km N. 
E) 90 km;36 km N.

Question 18

A car originally traveling at 30 m/s manages to brake for 5.0 seconds while traveling 125 m downhill.At that point the brakes fail.After an additional 5.0 seconds it travels an additional 150 m down the hill.What was the acceleration of the car after the brakes failed?

Accepted Answer

The answer of A car originally traveling at 30 m/s...

Question 19

In 2.0 s,a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m.The velocity at the end of this time interval is 10 m/s.What is the acceleration of the particle?

Accepted Answer

A) +15 m/s2 
B) +20 m/s2 
C) -20 m/s2 
D) -10 m/s2 
E) -15 m/s2 
A) +15 m/s2 
B) +20 m/s2 
C) -20 m/s2 
D) -10 m/s2 
E) -15 m/s2

Question 20

When Jim and Rob ride bicycles,Jim can only accelerate at three quarters the acceleration of Rob.Both start from rest at the bottom of a long straight road with constant upward slope.If Rob takes 5.0 minutes to reach the top,how much earlier should Jim start to reach the top at the same time as Rob?

Accepted Answer

A) 25 s 
B) 40 s 
C) 46 s 
D) 55 s 
E) 75 s 
A) 25 s 
B) 40 s 
C) 46 s 
D) 55 s 
E) 75 s

Exam 2: Motion in One Dimension

The speed of an object is given by ν=5.00t2+4.00t\nu = 5.00 t ^ { 2 } + 4.00 tν=5.00t2+4.00t where v is in m/s and t is in s.What is the acceleration of the object at t = 2.00 s?

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?

In 20 minutes,Kara 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?

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 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.

A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2.0 cm/s2.For the next 20 s,the acceleration of the particle is -1.0 cm/s2.What is the position of the particle at the end of this motion?

A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes.Her first lap is toward the north.Her displacement and average velocity are

Two children start at one end of a street,the origin,run to the other end,then head back.On the way back Joan is ahead of Mike.Which statement is correct about the distances run and the displacements from the origin?

Starting from rest,a car travels 1 350 meters in 1.00 minute.It accelerated at 1.0 m/s2 until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?

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?

An automobile manufacturer claims that its product will,starting from rest,travel 0.40 km in 9.0 s.What is the magnitude of the constant acceleration required to do this?

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 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

An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point.What is the initial (launch)speed of the object?

A car travels north at 30 m/s for one half hour.It then travels south at 40 m/s for 15 minutes.The total distance the car has traveled and its displacement are:

A car originally traveling at 30 m/s manages to brake for 5.0 seconds while traveling 125 m downhill.At that point the brakes fail.After an additional 5.0 seconds it travels an additional 150 m down the hill.What was the acceleration of the car after the brakes failed?

In 2.0 s,a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m.The velocity at the end of this time interval is 10 m/s.What is the acceleration of the particle?

Introduction and Vectors

Motion in Two Dimensions

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

Momentum and Collisions

Relativity

Rotational Motion

Gravity,planetary Orbits,and the Hydrogen Atom

Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Electric Potential and Capacitance

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

Reflection and Refraction of Light

Image Formation by Mirrors and Lenses

Wave Optics

Quantum Physics

Atomic Physics

Nuclear Physics

Particle Physics

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The speed of an object is given by $\nu = 5.00 t ^ { 2 } + 4.00 t$ where v is in m/s and t is in s.What is the acceleration of the object at t = 2.00 s?

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 starts from rest at x_i = 0 and moves for 10 s with an acceleration of +2.0 cm/s².For the next 20 s,the acceleration of the particle is -1.0 cm/s².What is the position of the particle at the end of this motion?

Starting from rest,a car travels 1 350 meters in 1.00 minute.It accelerated at 1.0 m/s² until it reached its cruising speed.Then it drove the remaining distance at constant velocity.What was its cruising speed?

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