Question 1

The displacement of a particle is _______ the distance the object has traveled.

Accepted Answer

A)  larger than 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to 
A)  larger than 
B)  smaller than 
C)  either larger or smaller than 
D)  the same as 
E)  smaller than or equal to E

Question 2

A particle has an initial velocity of 4.8 m/s toward the south and a final velocity of 7.1 m/s toward the east. The particle was subject to a constant acceleration for 0.25 s. The magnitude and the direction of the acceleration must have been

Accepted Answer

A)  8.6 m/s2 at 34.1º north of east 
B)  260 m/s2 at 34.1º south of east 
C)  34 m/s2 at 34.1º north of east 
D)  34 m/s2 at 34.1º south of east 
E)  8.6 m/s2 at 34.1º south of east 
A)  8.6 m/s2 at 34.1º north of east 
B)  260 m/s2 at 34.1º south of east 
C)  34 m/s2 at 34.1º north of east 
D)  34 m/s2 at 34.1º south of east 
E)  8.6 m/s2 at 34.1º south of east C

Question 3

A merry-go-round completes one revolution in 30 s. What is the speed of a rider located at a distance 3 m from the center of the merry go-round?

Accepted Answer

A)  0.1 m/s 
B)  0.2$\pi$ m/s 
C)  2$\pi$m/s 
D)  6$\pi$ m/s 
E)  30 m/s 
A)  0.1 m/s 
B)  0.2$\pi$ m/s 
C)  2$\pi$m/s 
D)  6$\pi$ m/s 
E)  30 m/s B

Question 4

A car is traveling south at 30 km/h. It rounds a curve, and 6 s later it is traveling west at 30 km/h. The magnitude of the average acceleration of the car is

Accepted Answer

A)  zero 
B)  60 km/h · s 
C)  5 km/h · s 
D)  50 km/h · s 
E)  7.1 km/h · s 
A)  zero 
B)  60 km/h · s 
C)  5 km/h · s 
D)  50 km/h · s 
E)  7.1 km/h · s

Question 5

A car is at position (x1, y1) = (4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position (x2, y2) = (204 m, 305 m), calculate the distance traveled by the car in this interval.

Accepted Answer

A)  367 m 
B)  500 m 
C)  373 m 
D)  509 m 
E)  361 m 
A)  367 m 
B)  500 m 
C)  373 m 
D)  509 m 
E)  361 m

Question 6

A roofing tile slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s. The roof makes an angle of 30 degrees to the horizontal. How far from the exit point on the roof does the tile land?

Accepted Answer

A)  6.00 m 
B)  16.0 m 
C)  11.7 m 
D)  13.6 m 
E)  19.2 m 
A)  6.00 m 
B)  16.0 m 
C)  11.7 m 
D)  13.6 m 
E)  19.2 m

Question 7

A stone with a mass m is dropped from an airplane that has a horizontal velocity v at a height h above a lake. If air resistance is neglected, the horizontal distance R from the point on the lake directly below the point of release to the point where the stone strikes the water is given by which formula?

Accepted Answer

A)  R = v(2h/g)2  
B)  R = (1/2)gt2  
C)    
D)    
E)  None of these is correct. 
A)  R = v(2h/g)2  
B)  R = (1/2)gt2  
C)    
D)    
E)  None of these is correct.

Question 8

The figure shows the position of a ball as it is being whirled in a vertical circle.   At point (a), the direction of the resultant acceleration (centripetal and tangential) is

Accepted Answer

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

Question 9

Use the figure to answer questions  
The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is VS1U1B1oS1U1B0 at an angle θ to the horizon. The vertical dashed lines represent equal time interval, Δt.
  
-The acceleration at point a is ____ the acceleration at c is

Accepted Answer

A)  less than 
B)  equal to 
C)  greater than 
D)  unable to tell 
E)  depends on how g changes along the path 
A)  less than 
B)  equal to 
C)  greater than 
D)  unable to tell 
E)  depends on how g changes along the path

Question 10

If air resistance is neglected and the initial speed of a projectile is doubled, its range

Accepted Answer

A)  doubles. 
B)  decreases by one-half. 
C)  increases by a factor of four. 
D)  decreases by a factor of four. 
E)  does not change. 
A)  doubles. 
B)  decreases by one-half. 
C)  increases by a factor of four. 
D)  decreases by a factor of four. 
E)  does not change.

Question 11

The initial path of a rocket is 30º above the horizontal, and the horizontal component of the rocket's velocity is 326 m/s. The initial vertical component of the rocket's velocity is

Accepted Answer

A)  188 m/s 
B)  330 m/s 
C)  380 m/s 
D)  280 m/s 
E)  250 m/s 
A)  188 m/s 
B)  330 m/s 
C)  380 m/s 
D)  280 m/s 
E)  250 m/s

Question 12

You shoot an arrow in a high arc toward a target located some distance away. At the highest point in its flight, the arrow's

Accepted Answer

A)  velocity and acceleration are both nonzero. 
B)  velocity is zero but its acceleration is nonzero. 
C)  velocity is nonzero but its acceleration is zero. 
D)  velocity and acceleration are both zero. 
E)  Insufficient information is given to answer correctly. 
A)  velocity and acceleration are both nonzero. 
B)  velocity is zero but its acceleration is nonzero. 
C)  velocity is nonzero but its acceleration is zero. 
D)  velocity and acceleration are both zero. 
E)  Insufficient information is given to answer correctly.

Question 13

The initial position and velocity of a projectile are given by   and   respectively, and where r is in m and v in m/s. The position in the horizontal direction (in m) as a function of time is

Accepted Answer

A)  x(t) = 6t 
B)  x(t) = 3 + 6t 
C)  x(t) = 3 + 6t +   gt2 
D)  x(t) = 4 + 8t 
E)  x(t) = 4 + 8t +   gt2 
A)  x(t) = 6t 
B)  x(t) = 3 + 6t 
C)  x(t) = 3 + 6t +   gt2 
D)  x(t) = 4 + 8t 
E)  x(t) = 4 + 8t +   gt2

Question 14

Use the diagram to answer question.
The curve shows the position of an object with time. The object moves with a constant speed, v.  
-Which of the vector diagrams below best represent the velocity vector at P1 and P2?

Accepted Answer

A)  (1) 
B)  (2) 
C)  (3) 
D)  (4) 
E)  None of these is correct. 
A)  (1) 
B)  (2) 
C)  (3) 
D)  (4) 
E)  None of these is correct.

Question 15

A train, starting from rest, accelerates along the platform at a uniform rate of 0.6 m/s2. A passenger standing on the platform is 5 m away from the door when the train starts to pull away and heads toward the door at an acceleration of 1.2 m/s2. How long does it take the passenger to reach the door?

Accepted Answer

A)  3.0 s 
B)  17 s 
C)  7.1 s 
D)  5.6 s 
E)  4.1 s 
A)  3.0 s 
B)  17 s 
C)  7.1 s 
D)  5.6 s 
E)  4.1 s

Question 16

The position vector locating the point P(5,12) relative to the origin is

Accepted Answer

A)  12   + 5   
B)  -5   - 12   
C)  5   + 12    
D)  13   + 13   
E)  13   - 13   
A)  12   + 5   
B)  -5   - 12   
C)  5   + 12    
D)  13   + 13   
E)  13   - 13

Question 17

A car is at position (x1, y1) = (4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position (x2, y2) = (204 m, 305 m), find the (size of the) component of the average velocity along the x-axis.

Accepted Answer

A)  30.0 m/s 
B)  36.1 m/s 
C)  20.0 m/s 
D)  18.2 m/s 
E)  22.2 m/s 
A)  30.0 m/s 
B)  36.1 m/s 
C)  20.0 m/s 
D)  18.2 m/s 
E)  22.2 m/s

Question 18

A projectile is shot at an angle of 45º to the horizontal near the surface of Earth but in the absence of air resistance. When it reaches the highest point of its trajectory, its speed is 150 m/s. In a second trial with the same projectile, the initial speed is the same but the angle is now 37º with the horizontal. At its highest point in this trajectory, the speed of the projectile would be

Accepted Answer

A)  150 m/s (sin 45º/sin 36º) 
B)  150 m/s (cos 37º/cos 45º) 
C)  150 m/s (sin 37º/sin 45º) 
D)  150 m/s (37/45) 
E)  None of these is correct. 
A)  150 m/s (sin 45º/sin 36º) 
B)  150 m/s (cos 37º/cos 45º) 
C)  150 m/s (sin 37º/sin 45º) 
D)  150 m/s (37/45) 
E)  None of these is correct.

Question 19

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s2 along the y axis for 2.0 s. The final speed of the particle is

Accepted Answer

A)  -2.0 m/s 
B)  8.2 m/s 
C)  6.0 m/s 
D)  10 m/s 
E)  None of these is correct. 
A)  -2.0 m/s 
B)  8.2 m/s 
C)  6.0 m/s 
D)  10 m/s 
E)  None of these is correct.

Question 20

You walk 5 km north and then 12 km east. Your resultant displacement is

Accepted Answer

A)  13 km at an angle of 22.6º north of east. 
B)  13 km at an angle of 67.4º north of east. 
C)  17 km at an angle of 22.6º north of east. 
D)  17 km at an angle of 67.4º north of east. 
E)  None of these is correct. 
A)  13 km at an angle of 22.6º north of east. 
B)  13 km at an angle of 67.4º north of east. 
C)  17 km at an angle of 22.6º north of east. 
D)  17 km at an angle of 67.4º north of east. 
E)  None of these is correct.

The displacement of a particle is _______ the distance the object has traveled.

A particle has an initial velocity of 4.8 m/s toward the south and a final velocity of 7.1 m/s toward the east. The particle was subject to a constant acceleration for 0.25 s. The magnitude and the direction of the acceleration must have been

A merry-go-round completes one revolution in 30 s. What is the speed of a rider located at a distance 3 m from the center of the merry go-round?

A car is traveling south at 30 km/h. It rounds a curve, and 6 s later it is traveling west at 30 km/h. The magnitude of the average acceleration of the car is

A car is at position (x₁, y₁) = (4 m, 5 m) at time t₁ = 1 s. If 10 seconds later the car moving in a straight line is at position (x₂, y₂) = (204 m, 305 m), calculate the distance traveled by the car in this interval.

A roofing tile slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s. The roof makes an angle of 30 degrees to the horizontal. How far from the exit point on the roof does the tile land?

The figure shows the position of a ball as it is being whirled in a vertical circle. At point (a), the direction of the resultant acceleration (centripetal and tangential) is

If air resistance is neglected and the initial speed of a projectile is doubled, its range

The initial path of a rocket is 30º above the horizontal, and the horizontal component of the rocket's velocity is 326 m/s. The initial vertical component of the rocket's velocity is

You shoot an arrow in a high arc toward a target located some distance away. At the highest point in its flight, the arrow's

The initial position and velocity of a projectile are given by and respectively, and where r is in m and v in m/s. The position in the horizontal direction (in m) as a function of time is

Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v. -Which of the vector diagrams below best represent the velocity vector at P₁ and P₂?

The position vector locating the point P(5,12) relative to the origin is

A car is at position (x₁, y₁) = (4 m, 5 m) at time t₁ = 1 s. If 10 seconds later the car moving in a straight line is at position (x₂, y₂) = (204 m, 305 m), find the (size of the) component of the average velocity along the x-axis.

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s² along the y axis for 2.0 s. The final speed of the particle is

You walk 5 km north and then 12 km east. Your resultant displacement is

Systems of Measurement

Motion in One Dimension

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

Exam 3: Motion in Two and Three Dimensions

The displacement of a particle is _______ the distance the object has traveled.

A particle has an initial velocity of 4.8 m/s toward the south and a final velocity of 7.1 m/s toward the east. The particle was subject to a constant acceleration for 0.25 s. The magnitude and the direction of the acceleration must have been

A merry-go-round completes one revolution in 30 s. What is the speed of a rider located at a distance 3 m from the center of the merry go-round?

A car is traveling south at 30 km/h. It rounds a curve, and 6 s later it is traveling west at 30 km/h. The magnitude of the average acceleration of the car is

A car is at position (x1, y1) = (4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position (x2, y2) = (204 m, 305 m), calculate the distance traveled by the car in this interval.

A roofing tile slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s. The roof makes an angle of 30 degrees to the horizontal. How far from the exit point on the roof does the tile land?

The figure shows the position of a ball as it is being whirled in a vertical circle. At point (a), the direction of the resultant acceleration (centripetal and tangential) is

If air resistance is neglected and the initial speed of a projectile is doubled, its range

The initial path of a rocket is 30º above the horizontal, and the horizontal component of the rocket's velocity is 326 m/s. The initial vertical component of the rocket's velocity is

You shoot an arrow in a high arc toward a target located some distance away. At the highest point in its flight, the arrow's

The initial position and velocity of a projectile are given by and respectively, and where r is in m and v in m/s. The position in the horizontal direction (in m) as a function of time is

Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v. -Which of the vector diagrams below best represent the velocity vector at P1 and P2?

The position vector locating the point P(5,12) relative to the origin is

A car is at position (x1, y1) = (4 m, 5 m) at time t1 = 1 s. If 10 seconds later the car moving in a straight line is at position (x2, y2) = (204 m, 305 m), find the (size of the) component of the average velocity along the x-axis.

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s2 along the y axis for 2.0 s. The final speed of the particle is

You walk 5 km north and then 12 km east. Your resultant displacement is

Systems of Measurement

Motion in One Dimension

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A car is at position (x₁, y₁) = (4 m, 5 m) at time t₁ = 1 s. If 10 seconds later the car moving in a straight line is at position (x₂, y₂) = (204 m, 305 m), calculate the distance traveled by the car in this interval.

Use the diagram to answer question. The curve shows the position of an object with time. The object moves with a constant speed, v. -Which of the vector diagrams below best represent the velocity vector at P₁ and P₂?

A car is at position (x₁, y₁) = (4 m, 5 m) at time t₁ = 1 s. If 10 seconds later the car moving in a straight line is at position (x₂, y₂) = (204 m, 305 m), find the (size of the) component of the average velocity along the x-axis.

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s² along the y axis for 2.0 s. The final speed of the particle is