Question 1

Which of the curves on the graph below best represents the verticle component vy versus t for a projectile fired at an angle of 45   above the horizontal?

Accepted Answer

A)  OC 
B)  DE 
C)  AB 
D)  AE 
E)  AF 
A)  OC 
B)  DE 
C)  AB 
D)  AE 
E)  AF

Question 2

Which of the following is NOT an example of accelerated motion?

Accepted Answer

A)  Vertical component of projectile motion 
B)  Circular motion at constant speed 
C)  A swinging pendulum 
D)  Earth's motion about sun 
E)  Horizontal component of projectile motion 
A)  Vertical component of projectile motion 
B)  Circular motion at constant speed 
C)  A swinging pendulum 
D)  Earth's motion about sun 
E)  Horizontal component of projectile motion

Question 3

A particle goes from x = -2 m, y = 3 m, z = 1 m to x = 3 m, y = -1 m, z = 4 m. Its displacement is:

Accepted Answer

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

Question 4

A boy wishes to row across a river in the shortest possible time. He can row at 2 m/s in still water and the river is flowing at 1 m/s. At what angle 
$\theta$
 should he point the bow (front) of his boat?

Accepted Answer

A)  30
  
B)  45
  
C)  60
  
D)  63
  
E)  90
  
A)  30
  
B)  45
  
C)  60
  
D)  63
  
E)  90

Question 5

A bomber flying in level flight with constant velocity releases a bomb before it is over the target. Neglecting air resistance, which one of the following is NOT true?

Accepted Answer

A)  The bomber is over the target when the bomb strikes 
B)  The acceleration of the bomb is constant 
C)  The horizontal velocity of the plane equals the vertical velocity of the bomb when it hits the target 
D)  The bomb travels in a curved path 
E)  The time of flight of the bomb is independent of the horizontal speed of the plane 
A)  The bomber is over the target when the bomb strikes 
B)  The acceleration of the bomb is constant 
C)  The horizontal velocity of the plane equals the vertical velocity of the bomb when it hits the target 
D)  The bomb travels in a curved path 
E)  The time of flight of the bomb is independent of the horizontal speed of the plane

Question 6

A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground). A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat). The speed of the man with respect to the ground is:

Accepted Answer

A)  10 mph 
B)  14 mph 
C)  18.5 mph 
D)  21 mph 
E)  26 mph 
A)  10 mph 
B)  14 mph 
C)  18.5 mph 
D)  21 mph 
E)  26 mph

Question 7

A stone is thrown outward from the top of a 59.4-m high cliff with an upward velocity component of 19.5 m/s. How long is stone in the air?

Accepted Answer

A)  4.00 s 
B)  5.00 s 
C)  6.00 s 
D)  7.00 s 
E)  8.00 s 
A)  4.00 s 
B)  5.00 s 
C)  6.00 s 
D)  7.00 s 
E)  8.00 s

Question 8

An airplane makes a gradual   turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is:

Accepted Answer

A)  zero 
B)  40 m/s2 
C)  20 m/s2 
D)  14 m/s2 
E)  10 m/s2 
A)  zero 
B)  40 m/s2 
C)  20 m/s2 
D)  14 m/s2 
E)  10 m/s2

Question 9

A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectiole at one second intervals. If g = 10 m/s2, the lengths X,Y,Z are:

Accepted Answer

A)  5 m, 10 m, 15 m 
B)  5 m, 20 m, 45 m 
C)  10 m, 40 m, 90 m 
D)  10 m, 20 m, 30 m 
E)  0.2 m, 0.8 m, 1.8 m 
A)  5 m, 10 m, 15 m 
B)  5 m, 20 m, 45 m 
C)  10 m, 40 m, 90 m 
D)  10 m, 20 m, 30 m 
E)  0.2 m, 0.8 m, 1.8 m

Question 10

Which of the following is a scalar quantity?

Accepted Answer

A)  Speed 
B)  Velocity 
C)  Displacement 
D)  Acceleration 
E)  None of these 
A)  Speed 
B)  Velocity 
C)  Displacement 
D)  Acceleration 
E)  None of these

Question 11

A bullet shot horizontally from a gun:

Accepted Answer

A)  strikes the ground much later than one dropped vertically from the same point at the same instant 
B)  never strikes the ground 
C)  strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D)  travels in a straight line 
E)  strikes the ground much sooner than one dropped from the same point at the same instant 
A)  strikes the ground much later than one dropped vertically from the same point at the same instant 
B)  never strikes the ground 
C)  strikes the ground at approximately the same time as one dropped vertically from the same point at the same instant 
D)  travels in a straight line 
E)  strikes the ground much sooner than one dropped from the same point at the same instant

Question 12

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45   . With what speed was it thrown?

Accepted Answer

A)  14 m/s 
B)  20 m/s 
C)  28 m/s 
D)  32 m/s 
E)  40 m/s 
A)  14 m/s 
B)  20 m/s 
C)  28 m/s 
D)  32 m/s 
E)  40 m/s

Question 13

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m. If it makes two complete revolutions each second, its acceleration is:

Accepted Answer

A)  0.24 m/s2 
B)  2.4 m/s2 
C)  24 m/s2 
D)  240 m/s2 
E)  2400 m/s2 
A)  0.24 m/s2 
B)  2.4 m/s2 
C)  24 m/s2 
D)  240 m/s2 
E)  2400 m/s2

Question 14

A jet plane in straight horizontal flight passes over your head. When it is directly above you, the sound seems to come from a point behind the plane in a direction 30   from the vertical. The speed of the plane is:

Accepted Answer

A)  the same as the speed of sound 
B)  half the speed of sound 
C)  three-fifths the speed of sound 
D)  0.866 times the speed of sound 
E)  twice the speed of sound 
A)  the same as the speed of sound 
B)  half the speed of sound 
C)  three-fifths the speed of sound 
D)  0.866 times the speed of sound 
E)  twice the speed of sound

Question 15

A car rounds a 20-m radius curve at 10 m/s. The magnitude of its acceleration is:

Accepted Answer

A)  0 
B)  0.20 m/s2 
C)  5.0 m/s2 
D)  40 m/s2 
E)  400 m/s2 
A)  0 
B)  0.20 m/s2 
C)  5.0 m/s2 
D)  40 m/s2 
E)  400 m/s2

Question 16

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. The acceleration at the bottom of the circle is:

Accepted Answer

A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, up 
D)  32 m/s2, up 
E)  32 m/s2, down 
A)  9.8 m/s2, up 
B)  9.8 m/s2, down 
C)  8.0 m/s2, up 
D)  32 m/s2, up 
E)  32 m/s2, down

Question 17

A plane traveling north at 200 m/s turns and then travels south at 200 m/s. The change in its velocity is:

Accepted Answer

A)  zero 
B)  200 m/s north 
C)  200 m/s south 
D)  400 m/s north 
E)  400 m/s south 
A)  zero 
B)  200 m/s north 
C)  200 m/s south 
D)  400 m/s north 
E)  400 m/s south

Question 18

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? 
Use g = 10 m/s2

Accepted Answer

A)  10 m 
B)  40 m 
C)  50 m 
D)    
E)  none of these 
A)  10 m 
B)  40 m 
C)  50 m 
D)    
E)  none of these

Question 19

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? 
Take g = 10 m/s2.

Accepted Answer

A)  150 m 
B)  295 m 
C)  417 m 
D)  2550 m 
E)  15,000 m 
A)  150 m 
B)  295 m 
C)  417 m 
D)  2550 m 
E)  15,000 m

Question 20

A motor boat can travel at 10 km/h in still water. A river flows at 5 km/h west. A boater wishes to cross from the south bank to a point directly opposite on the north bank. At what angle must the boat be headed?

Accepted Answer

A)  27    E of N 
B)  30    E of N 
C)  45    E of N 
D)  60    E of N 
E)  depends on the width of the river 
A)  27    E of N 
B)  30    E of N 
C)  45    E of N 
D)  60    E of N 
E)  depends on the width of the river

Exam 4: Motion in Two and Three Dimensions

Which of the curves on the graph below best represents the verticle component vy versus t for a projectile fired at an angle of 45 above the horizontal?

Which of the following is NOT an example of accelerated motion?

A particle goes from x = -2 m, y = 3 m, z = 1 m to x = 3 m, y = -1 m, z = 4 m. Its displacement is:

A boy wishes to row across a river in the shortest possible time. He can row at 2 m/s in still water and the river is flowing at 1 m/s. At what angle θ\thetaθ should he point the bow (front) of his boat?

A bomber flying in level flight with constant velocity releases a bomb before it is over the target. Neglecting air resistance, which one of the following is NOT true?

A boat is traveling upstream at 14 mph with respect to a river that is flowing at 6 mph (with respect to the ground). A man runs directly across the boat, from one side to the other, at 6 mph (with respect to the boat). The speed of the man with respect to the ground is:

A stone is thrown outward from the top of a 59.4-m high cliff with an upward velocity component of 19.5 m/s. How long is stone in the air?

An airplane makes a gradual 90 turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. For this turn the magnitude of the average acceleration of the plane is:

A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectiole at one second intervals. If g = 10 m/s2, the lengths X,Y,Z are:

Which of the following is a scalar quantity?

A bullet shot horizontally from a gun:

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45 . With what speed was it thrown?

A stone is tied to the end of a string and is swung with constant speed around a horizontal circle with a radius of 1.5 m. If it makes two complete revolutions each second, its acceleration is:

A jet plane in straight horizontal flight passes over your head. When it is directly above you, the sound seems to come from a point behind the plane in a direction 30 from the vertical. The speed of the plane is:

A car rounds a 20-m radius curve at 10 m/s. The magnitude of its acceleration is:

A stone is tied to a 0.50-m string and whirled at a constant speed of 4.0 m/s in a vertical circle. The acceleration at the bottom of the circle is:

A plane traveling north at 200 m/s turns and then travels south at 200 m/s. The change in its velocity is:

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s2

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s2.

A motor boat can travel at 10 km/h in still water. A river flows at 5 km/h west. A boater wishes to cross from the south bank to a point directly opposite on the north bank. At what angle must the boat be headed?

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Filters

Which of the curves on the graph below best represents the verticle component v_y versus t for a projectile fired at an angle of 45 above the horizontal?

A cannon fires a projectile as shown. The dashed line shows the trajectory in the absence of gravity; points MNOP correspond to the position of the projectiole at one second intervals. If g = 10 m/s², the lengths X,Y,Z are:

A boy on the edge of a vertical cliff 20 m high throws a stone horizontally outwards with a speed of 20 m/s. It strikes the ground at what horizontal distance from the foot of the cliff? Use g = 10 m/s²

The airplane shown is in level flight at an altitude of 0.50 km and a speed of 150 km/h. At what distance d should it release a heavy bomb to hit the target X? Take g = 10 m/s².