Name: 100. meters high. [Neglect air resistance.]

[Pages:7]Name: ____________________________________________ Questions 1 and 2 refer to the following:

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The diagram below shows a ball projected horizontally with an initial velocity of 20. meters per second east, off a cliff 100. meters high. [Neglect air resistance.]

___ 1) How many seconds does the ball take to reach the ground?

A) 9.8 s

B) 2.0 s

C) 4.5 s

___ 2) During the flight of the ball, what is the direction of its acceleration?

A) eastward

B) upward

C) downward

Questions 3 through 5 refer to the following:

D) 20. s D) westward

The diagram below represents a ball being kicked by a foot and rising at an angle of 30. from the horizontal. The ball has an initial velocity of 5.0 meters per second. [Neglect friction.]

___ 3) ___ 4) ___ 5)

If the angle between the horizontal and the direction of the 5.0 meters-per-second velocity decreases from 30. to 20. , the horizontal distance the ball travels will

A) decrease

B) remain the same

C) increase

What is the magnitude of the horizontal component of the ball's initial velocity?

A) 2.5 m/s

B) 8.7 m/s

C) 4.3 m/s

D) 5.0 m/s

As the ball rises, the vertical component of its velocity

A) increases

B) remains the same

C) decreases

___ 6)

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A ball rolls through a hollow semicircular tube lying flat on a horizontal tabletop. Which diagram best shows the path of the ball after emerging from the tube, as viewed from above?

A)

C)

B)

D)

Questions 7 through 9 refer to the following:

An object is thrown horizontally off a cliff with an initial velocity of 5.0 meters per second. The object strikes the ground 3.0 seconds later.

___ 7) What is the vertical speed of the object as it reaches the ground? [Neglect friction.]

A) 5.0 m/s

B) 15 m/s

C) 29 m/s

D) 130 m/s

___ 8) How far from the base of the cliff will the object strike the ground? [Neglect friction.]

A) 44 m

B) 2.9 m

C) 15 m

D) 9.8 m

___ 9) What is the horizontal speed of the object 1.0 second after it is released? [Neglect friction.]

A) 5.0 m/s

B) 15 m/s

C) 30. m/s

D) 10. m/s

___ 10) A cannon with a muzzle velocity of 500. meters per second fires a cannonball at an angle of 30. above the horizontal. What is the vertical component of the cannonball's velocity as it leaves the cannon?

A) 500. m/s

B) 433 m/s

C) 0.0 m/s

D) 250. m/s

___ 11) An object is thrown into the air and follows the path shown in the diagram below.

Which vector best represents the acceleration of the object at point A? [Neglect air friction.]

A)

B)

C)

D)

Questions 12 through 14 refer to the following:

A cannon fires a projectile at an angle with the horizontal. The horizontal component of the projectile's initial velocity is 866 meters per second and its initial vertical component is 500. meters per second. [Neglect air resistance.]

___ 12) What is the shape of the path that the projectile will follow?

A) circular

B) hyperbolic

C) parabolic

D) straight

___ 13)

___ 14) ___ 15)

The maximum height to which the projectile rises is approximately

A) 2.50 103 m

C) 4.42

B) 1.28 104 m

D) 1.54

104 m 104 m

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After 5.00 seconds, what is the vertical component of the projectile's velocity?

A) 49.0 m/s

B) 500. m/s

C) 451 m/s

D) 549 m/s

The diagram below represents a bicycle and rider traveling to the right at a constant speed. A ball is dropped from the hand of the cyclist.

Which set of graphs best represents the horizontal motion of the ball relative to the ground? [Neglect air resistance.]

A)

C)

B)

D)

___ 16)

A projectile is launched at an angle of 60 above the horizontal. Compared to the vertical component of the initial velocity of the projectile, the vertical component of the projectile's velocity when it has reached its maximum height is

A) less

B) the same

C) greater

Questions 17 and 18 refer to the following:

The diagram below shows a ball thrown toward the east and upward at an angle of 30 to the horizontal. Point X represents the ball's highest point.

___ 17) ___ 18)

What is the direction of the ball's acceleration at point X? [Neglect friction.]

A) up

B) down

C) east

What is the direction of the ball's velocity at point X? [Neglect friction.]

A) down

B) west

C) east

D) west D) up

Questions 19 through 21 refer to the following:

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A cannon elevated at an angle of 35 to the horizontal fires a cannonball, which travels the path shown in the diagram below. [Neglect air resistance and assume the ball lands at the same height above the ground from which it was launched.]

___ 19) ___ 20) ___ 21)

___ 22) ___ 23)

If the ball's time of flight is 10. seconds, what is the vertical component of its initial velocity?

A) 49 m/s

B) 98 m/s

C) 9.8 m/s

D) 70. m/s

If the ball lands 7.0 102 meters from the cannon 10. seconds after it was fired, what is the horizontal component of its initial velocity?

A) 49 m/s

B) 7.0 m/s

C) 35 m/s

D) 70. m/s

If the angle of elevation of the cannon is decreased from 35 velocity will

A) increase and its horizontal component will increase B) increase and its horizontal component will decrease C) decrease and its horizontal component will increase D) decrease and its horizontal component will decrease

to 30. , the vertical component of the ball's initial

Four cannonballs, each with mass M and initial velocity V, are fired from a cannon at different angles relative to the Earth. Neglecting air friction, which angular direction of the cannon produces the greatest projectile height?

A) 45

B) 20

C) 90

D) 70

A ball rolls down a curved ramp as shown in the diagram below. Which dotted line best represents the path of the ball after leaving the ramp?

A) A

B) B

C) C

D) D

___ 24)

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Four different balls are thrown horizontally off the top of four cliffs. In which diagram does the ball have the shortest time of flight?

A)

C)

B)

D)

___ 25) A 1-kilogram object is thrown horizontally and a 2-kilogram object is dropped vertically at the same instant and from the same point above the ground. If friction is neglected, at any given instant both objects will have the same

A) kinetic energy B) total velocity

C) height D) momentum

___ 26) A baseball player throws a baseball at a speed of 40. meters per second at an angle of 30. to the ground. The horizontal component of the baseball's speed is approximately

A) 20. m/s

B) 15 m/s

C) 35 m/s

D) 30. m/s

Questions 27 through 29 refer to the following:

In the diagram below, a 10.-kilogram sphere, A, is projected horizontally with a velocity of 30. meters per second due east from a height of 20. meters above level ground. At the same instant, a 20.-kilogram sphere, B, is projected horizontally with a velocity of 10. meters per second due west from a height of 80. meters above level ground. [Neglect air friction.]

___ 27)

Initially, the spheres are separated by a horizontal distance of 100. meters. What is the horizontal separation of the spheres at the end of 1.5 seconds?

A) 15 m

B) 45 m

C) 40. m

D) 30. m

___ 28) ___ 29) ___ 30) ___ 31)

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Compared to the vertical acceleration of sphere A, the vertical acceleration of sphere B is

A) one-half as great B) the same

C) four times as great D) twice as great

The magnitude of the horizontal acceleration of sphere A is

A) 0.0 m/s2

B) 9.8 m/s2

C) 15 m/s2

D) 2.0 m/s2

A batted softball leaves the bat with an initial velocity of 44 meters per second at an angle of 37 above the horizontal. What is the magnitude of the initial vertical component of the softball's velocity?

A) 44 m/s

B) 0 m/s

C) 35 m/s

D) 26 m/s

A soccer ball travels the path shown in the diagram below.

Which vector best represents the direction of the force of air friction on the ball at point P?

A)

B)

C)

D)

___ 32) ___ 33) ___ 34) ___ 35)

A bullet is fired from a rifle with a muzzle velocity of 100. meters per second at an angle of 30. up from the horizontal. What is the magnitude of the vertical component of the muzzle velocity?

A) 50. m/s

B) 0.0 m/s

C) 100 m/s

D) 87 m/s

A projectile is launched at an angle of 60. to the horizontal at an initial speed of 10. meters per second. What is the magnitude of the vertical component of its initial speed?

A) 5.0 m/s

B) 2.5 m/s

C) 8.7 m/s

D) 4.3 m/s

A projectile is fired at an angle of 53 to the horizontal with a speed of 80. meters per second. What is the vertical component of the projectile's initial velocity?

A) 130 m/s

B) 64 m/s

C) 48 m/s

D) 100 m/s

The diagram below shows a baseball being hit with a bat. Angle represents the angle between the horizontal and the ball's initial direction of motion.

Which value of would result in the ball traveling the longest horizontal distance? [Neglect air resistance.]

A) 60

B) 90

C) 45

D) 25

___ 36)

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A ball is fired vertically upward at 5.0 meters per second from a cart moving horizontally to the right at 2.0 meters per second. Which vector best represents the resultant velocity of the ball when fired?

A)

C)

B)

D)

___ 37) ___ 38)

A projectile is fired a velocity of 150. meters per second at an angle of 30 with the horizontal. What is the magnitude of the vertical component of the velocity at the time the projectile is fired?

A) 130. m/s

B) 225 m/s

C) 75.0 m/s

D) 150. m/s

Projectiles are fired from different angles with the same initial speed of 14 meters per second. The graph below shows the range of the projectiles as a function of the original angle of inclination to the ground, neglecting air resistance.

___ 39)

The graph shows that the range of the projectiles is A) greatest for an angle of 90. B) the same for angles of 20. and 80.

C) greatest for an angle of 45 D) the same for all angles

Above a flat horizontal plane, an arrow, A, is shot horizontally from a bow at a speed of 50 meters per second, as shown in the diagram below. A second arrow, B, is dropped from the same height and at the same instant as A is fired.

Neglecting air friction, compared to the amount of time A takes to strike the plane, the amount of time B takes to strike the plane is

A) the same

B) greater

C) less

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