Question 1

The position of an object is given by  
Where t is in seconds.At t = 2.0 s,what is the magnitude of the particle's acceleration?

Accepted Answer

A) 0 m/s2 
B) 2.0 m/s2 
C) 17 m/s2 
D) 36 m/s2 
E) 72 m/s2 
A) 0 m/s2 
B) 2.0 m/s2 
C) 17 m/s2 
D) 36 m/s2 
E) 72 m/s2

Question 2

A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court.What should the ratio  
Be for the initial velocity  
? The time t = 0 is the time when the ball is hit by the racket.

Accepted Answer

A) W/L 
B) L/W 
C)    
D)    
E)    
A) W/L 
B) L/W 
C)    
D)    
E)

Question 3

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 20 m/s north,and the total acceleration of the car is 2.5 m/s2 37° south of west.Which of the following is correct?

Accepted Answer

A) R = 0.40 km,and the car's speed is decreasing. 
B) R = 0.20 km,and the car's speed is decreasing. 
C) R = 0.20 km,and the car's speed is increasing. 
D) R = 0.16 km,and the car's speed is increasing. 
E) R = 0.16 km,and the car's speed is decreasing. 
A) R = 0.40 km,and the car's speed is decreasing. 
B) R = 0.20 km,and the car's speed is decreasing. 
C) R = 0.20 km,and the car's speed is increasing. 
D) R = 0.16 km,and the car's speed is increasing. 
E) R = 0.16 km,and the car's speed is decreasing.

Question 4

At t = 0,a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of  
)At the instant the y coordinate of the particle is 18 m,what is the x coordinate of the particle?

Accepted Answer

A) 30 m 
B) 21 m 
C) 27 m 
D) 24 m 
E) 45 m 
A) 30 m 
B) 21 m 
C) 27 m 
D) 24 m 
E) 45 m

Question 5

A river has a steady speed of 0.30 m/s.A student swims downstream a distance of 1.2 km and returns to the starting point.If the student swims with respect to the water at a constant speed and the downstream portion of the swim requires 20 minutes,how much time is required for the entire swim?

Accepted Answer

A) 50 minutes 
B) 80 minutes 
C) 90 minutes 
D) 70 minutes 
E) 60 minutes 
A) 50 minutes 
B) 80 minutes 
C) 90 minutes 
D) 70 minutes 
E) 60 minutes

Question 6

A block is supported on a compressed spring,which projects the block straight up in the air at velocity  
)The spring and ledge it sits on then retract.You can win a prize by hitting the block with a ball.When should you throw the ball and in what direction to be sure the ball hits the block? (Assume the ball can reach the block before the block reaches the ground and that the ball is thrown from a height equal to the release position of the block. )

Accepted Answer

A) At the instant when the block leaves the spring,directed at the block. 
B) At the instant when the block leaves the spring,directed at the spring. 
C) At the instant when the block is at the highest point,directed at the block. 
D) At the instant when the block is at the highest point,directed at the spring. 
E) When the block is back at the spring's original position,directed at that position. 
A) At the instant when the block leaves the spring,directed at the block. 
B) At the instant when the block leaves the spring,directed at the spring. 
C) At the instant when the block is at the highest point,directed at the block. 
D) At the instant when the block is at the highest point,directed at the spring. 
E) When the block is back at the spring's original position,directed at that position.

Question 7

An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m.Assume that the ground is level.At what horizontal distance from a target must the pilot release a bomb so as to hit the target?

Accepted Answer

A) 3.0 km 
B) 2.4 km 
C) 3.3 km 
D) 2.7 km 
E) 1.7 km 
A) 3.0 km 
B) 2.4 km 
C) 3.3 km 
D) 2.7 km 
E) 1.7 km

Question 8

At t = 0,a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction.Its acceleration is given by  
= (3.0  
− 2)0  
)m/s2.At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

Accepted Answer

A) 11 m 
B) 16 m 
C) 22 m 
D) 29 m 
E) 19 m 
A) 11 m 
B) 16 m 
C) 22 m 
D) 29 m 
E) 19 m

Question 9

A rock is projected from the edge of the top of a building with an initial velocity of 12.2 m/s at an angle of 53° above the horizontal.The rock strikes the ground a horizontal distance of 25 m from the base of the building.Assume that the ground is level and that the side of the building is vertical.How tall is the building?

Accepted Answer

A) 25.3 m 
B) 29.6 m 
C) 27.4 m 
D) 23.6 m 
E) 18.9 m 
A) 25.3 m 
B) 29.6 m 
C) 27.4 m 
D) 23.6 m 
E) 18.9 m

Question 10

With the x axis horizontal and the y axis vertically upward,the change in the horizontal component of velocity,Δvx,and the change in the vertical component of velocity,Δvy,of a projectile are related to the time since leaving the barrel,Δt,as

Accepted Answer

A) Δvx = 0;Δvy = 0. 
B) Δvx = gΔt;Δvy = 0. 
C) Δvx = 0;Δvy = gΔt. 
D) Δvx = 0;Δvy = −gΔt. 
E) Δvx = gΔt;Δvy = −gΔt. 
A) Δvx = 0;Δvy = 0. 
B) Δvx = gΔt;Δvy = 0. 
C) Δvx = 0;Δvy = gΔt. 
D) Δvx = 0;Δvy = −gΔt. 
E) Δvx = gΔt;Δvy = −gΔt.

Question 11

At t = 0,a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j)m/s2.At the instant the x coordinate of the particle is 15 m,what is the speed of the particle?

Accepted Answer

A) 10 m/s 
B) 16 m/s 
C) 12 m/s 
D) 14 m/s 
E) 26 m/s 
A) 10 m/s 
B) 16 m/s 
C) 12 m/s 
D) 14 m/s 
E) 26 m/s

Question 12

A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0  
− 2)0  
)m/s2.At the instant the particle moves back across the x axis (y = 0),what is the value of its x coordinate?

Accepted Answer

A) 65 m 
B) 91 m 
C) 54 m 
D) 78 m 
E) 86 m 
A) 65 m 
B) 91 m 
C) 54 m 
D) 78 m 
E) 86 m

Question 13

The initial speed of a cannon ball is 0.20 km/s.If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon,what is the minimum time of flight for the ball?

Accepted Answer

A) 16 s 
B) 21 s 
C) 24 s 
D) 14 s 
E) 19 s 
A) 16 s 
B) 21 s 
C) 24 s 
D) 14 s 
E) 19 s

Question 14

A student in the front of a school bus tosses a ball to another student in the back of the bus while the bus is moving forward at constant velocity.The speed of the ball as seen by a stationary observer in the street:

Accepted Answer

A) is less than that observed inside the bus. 
B) is the same as that observed inside the bus. 
C) is greater than that observed inside the bus. 
D) may be either greater or smaller than that observed inside the bus. 
E) may be either greater,smaller,or equal to that observed inside the bus. 
A) is less than that observed inside the bus. 
B) is the same as that observed inside the bus. 
C) is greater than that observed inside the bus. 
D) may be either greater or smaller than that observed inside the bus. 
E) may be either greater,smaller,or equal to that observed inside the bus.

Question 15

A car travels around an oval racetrack at constant speed.The car is accelerating

Accepted Answer

A) at all points except B and D. 
B) at all points except A and C. 
C) at all points except A,B,C,and D. 
D) everywhere,including points A,B,C,and D. 
E) nowhere,because it is traveling at constant speed. 
A) at all points except B and D. 
B) at all points except A and C. 
C) at all points except A,B,C,and D. 
D) everywhere,including points A,B,C,and D. 
E) nowhere,because it is traveling at constant speed.

Question 16

A particle moves in the xy plane in a circle centered on the origin.At a certain instant the velocity and acceleration of the particle are 4.0  
M/s and (−3.0  
− 2)0  
)m/s2.What are the x and y coordinates of the particle at this moment?

Accepted Answer

A) x = −4.4 m,y = 0 
B) x = +5.3 m,y = 0 
C) x = −5.3 m,y = 0 
D) x = +4.4 m,y = 0 
E) x = −1.8 m,y = 0 
A) x = −4.4 m,y = 0 
B) x = +5.3 m,y = 0 
C) x = −5.3 m,y = 0 
D) x = +4.4 m,y = 0 
E) x = −1.8 m,y = 0

Question 17

Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides in the direction of rotation of the merry-go-round?

Accepted Answer

A) 5.03 s 
B) 8.37 s 
C) 12.6 s 
D) 25.1 s 
E) 50.2 s 
A) 5.03 s 
B) 8.37 s 
C) 12.6 s 
D) 25.1 s 
E) 50.2 s

Question 18

In a location where the train tracks run parallel to a road,a high speed train traveling at 60 m/s passes a car traveling at 30 m/s in the opposite direction.How long does it take for the train to be 180 m away from the car?

Accepted Answer

A) 2.0 s 
B) 3.0 s 
C) 6.0 s 
D) 9.0 s 
E) 18.0 s 
A) 2.0 s 
B) 3.0 s 
C) 6.0 s 
D) 9.0 s 
E) 18.0 s

Question 19

A fast duck is flying   
mi/h at the same altitude as a slow airplane flying with a velocity of   
mi/h.How fast and in what direction is the duck moving relative to the airplane?

Accepted Answer

The answer of A fast duck is flying  ...

Question 20

Two balls,projected at different times so they don't collide,have trajectories A and B,as shown below.  
Which statement is correct?

Accepted Answer

A) v0B must be greater than v0A. 
B) Ball A is in the air for a longer time than ball B. 
C) Ball B is in the air for a longer time than ball A. 
D) Ball B has a greater acceleration than ball A. 
E) Ball A has a greater acceleration than ball B. 
A) v0B must be greater than v0A. 
B) Ball A is in the air for a longer time than ball B. 
C) Ball B is in the air for a longer time than ball A. 
D) Ball B has a greater acceleration than ball A. 
E) Ball A has a greater acceleration than ball B.

Exam 4: Motion in Two Dimensions

The position of an object is given by Where t is in seconds.At t = 2.0 s,what is the magnitude of the particle's acceleration?

A tennis player wants to slam a serve at O so that the ball lands just inside the opposite corner of the court.What should the ratio Be for the initial velocity ? The time t = 0 is the time when the ball is hit by the racket.

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 20 m/s north,and the total acceleration of the car is 2.5 m/s2 37° south of west.Which of the following is correct?

At t = 0,a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of )At the instant the y coordinate of the particle is 18 m,what is the x coordinate of the particle?

A river has a steady speed of 0.30 m/s.A student swims downstream a distance of 1.2 km and returns to the starting point.If the student swims with respect to the water at a constant speed and the downstream portion of the swim requires 20 minutes,how much time is required for the entire swim?

An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m.Assume that the ground is level.At what horizontal distance from a target must the pilot release a bomb so as to hit the target?

At t = 0,a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction.Its acceleration is given by = (3.0 − 2)0 )m/s2.At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

With the x axis horizontal and the y axis vertically upward,the change in the horizontal component of velocity,Δvx,and the change in the vertical component of velocity,Δvy,of a projectile are related to the time since leaving the barrel,Δt,as

At t = 0,a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j)m/s2.At the instant the x coordinate of the particle is 15 m,what is the speed of the particle?

A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0 − 2)0 )m/s2.At the instant the particle moves back across the x axis (y = 0),what is the value of its x coordinate?

The initial speed of a cannon ball is 0.20 km/s.If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon,what is the minimum time of flight for the ball?

A student in the front of a school bus tosses a ball to another student in the back of the bus while the bus is moving forward at constant velocity.The speed of the ball as seen by a stationary observer in the street:

A car travels around an oval racetrack at constant speed.The car is accelerating

A particle moves in the xy plane in a circle centered on the origin.At a certain instant the velocity and acceleration of the particle are 4.0 M/s and (−3.0 − 2)0 )m/s2.What are the x and y coordinates of the particle at this moment?

Refer to Exhibit 4-1.At what time intervals does Sheila encounter her brother,if she rides in the direction of rotation of the merry-go-round?

In a location where the train tracks run parallel to a road,a high speed train traveling at 60 m/s passes a car traveling at 30 m/s in the opposite direction.How long does it take for the train to be 180 m away from the car?

A fast duck is flying mi/h at the same altitude as a slow airplane flying with a velocity of mi/h.How fast and in what direction is the duck moving relative to the airplane?

Two balls,projected at different times so they don't collide,have trajectories A and B,as shown below. Which statement is correct?

Physics and Measurement

Motion in One Dimension

Vectors

The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

Energy of a System

Conservation of Energy

Linear Momentum and Collisions

Rotation of a Rigid Object About a Fixed Axis

Angular Momentum

Static Equilibrium and Elasticity

Universal Gravitation

Fluid Mechanics

Oscillatory Motion

Wave Motion

Sound Waves

Superposition and Standing Waves

Temperature

The First Law of Thermodynamics

The Kinetic Theory of Gases

Heat Engines, entropy, and the Second Law of Thermodynamics

Electric Fields

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current and Resistance

Direct-Current Circuits

Magnetic Fields

Sources of the Magnetic Field

Faradays Law

Inductance

Alternating-Current Circuits

Electromagnetic Waves

The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

Diffraction Patterns and Polarization

Relativity

Introduction to Quantum Physics

Quantum Mechanics

Atomic Physics

Molecules and Solids

Nuclear Structure

Applications of Nuclear Physics

Particle Physics and Cosmology

Filters

A car travels in a flat circle of radius R.At a certain instant the velocity of the car is 20 m/s north,and the total acceleration of the car is 2.5 m/s² 37° south of west.Which of the following is correct?

At t = 0,a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction.Its acceleration is given by = (3.0 − 2)0 )m/s².At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

With the x axis horizontal and the y axis vertically upward,the change in the horizontal component of velocity,Δv_x,and the change in the vertical component of velocity,Δv_y,of a projectile are related to the time since leaving the barrel,Δt,as

At t = 0,a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j)m/s².At the instant the x coordinate of the particle is 15 m,what is the speed of the particle?

A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0 − 2)0 )m/s².At the instant the particle moves back across the x axis (y = 0),what is the value of its x coordinate?

A particle moves in the xy plane in a circle centered on the origin.At a certain instant the velocity and acceleration of the particle are 4.0 M/s and (−3.0 − 2)0 )m/s².What are the x and y coordinates of the particle at this moment?