# Worksheet: Projectiles

In this worksheet, we will practice analyzing the motion of projectiles: objects that have uniform nonzero vertical acceleration while moving horizontally at constant velocity.

Q1:

An object is set in motion by an initial force that acts diagonally upward, as shown in the diagram. The object undergoes projectile motion.   Which of the graphs (e), (f), (g), and (h) shows the changes in the horizontal distance moved by the object between leaving the ground and returning to the ground?

• AGraph (g)
• BGraph (h)
• CGraph (f)
• DGraph (e)

Which of the graphs (a), (b), (c), and (d) shows the changes in the vertical distance moved by the object between leaving the ground and returning to the ground?

• AGraph (b)
• BGraph (a)
• CGraph (c)
• DGraph (d)

Q2:

An object is set in motion by an initial force that acts diagonally upward, as shown in the diagram. The object undergoes projectile motion.   Which of the graphs (a), (b), (c), and (d) shows the changes in the horizontal displacement of the object between leaving the ground and returning to the ground?

• AGraph (d)
• BGraph (b)
• CGraph (c)
• DGraph (a)

Which of the graphs (e), (f), (g), and (h) shows the changes in the horizontal velocity of the object between leaving the ground and returning to the ground?

• AGraph (g)
• BGraph (f)
• CGraph (e)
• DGraph (h)

Q3:

An object is given a short horizontal push that sets it in motion along a smooth horizontal surface. When the object reaches the end of the surface, it undergoes projectile motion from an initial position to a final position, as shown in the diagram.   Which of the graphs (a), (b), (c), and (d) shows the changes in the horizontal distance moved by the object between its initial and final positions?

• AGraph (a)
• BGraph (b)
• CGraph (d)
• DGraph (c)

Which of the graphs (e), (f), (g), and (h) shows the changes in the vertical distance moved by the object between its initial and final positions?

• AGraph (f)
• BGraph (g)
• CGraph (h)
• DGraph (e)

Q4:

The object shown in the diagram is undergoing two examples of projectile motion due to the forces and and due to the object’s weight. The first example of projectile motion, example A, involves a launch angle for the object that is close to being vertically upward. The other example, example B, shows a launch angle that is much shallower, closer to being horizontal. For both examples, the horizontal distance traveled by the object is the same. Which example of projectile motion involves a greater horizontal velocity?

• AExample A
• BExample B
• CThe horizontal velocity is the same for both examples.

Which example of projectile motion involves a greater vertical velocity?

• AThe vertical velocity is the same for both examples.
• BExample B
• CExample A

Which example of projectile motion involves the object being airborne for a longer time?

• AThe time for which the object is airborne is the same for both examples.
• BExample B
• CExample A

Which of the forces and is greater?

• A
• B
• CThey are equal.

Q5:

An object is set in motion by an initial force and the object undergoes projectile motion. A drag force acts on the object as it travels. Which of the following forces act on the object at the point shown in the diagram where the object is airborne? • A and
• B and
• C and
• D and
• E and

Q6:

An object is set in motion by an initial force that acts diagonally upward, as shown in the diagram. The object undergoes projectile motion.   Which of the graphs (a), (b), (c), and (d) shows the changes in the vertical speed of the object between leaving the ground and returning to the ground?

• AGraph (b)
• BGraph (d)
• CGraph (c)
• DGraph (a)

Which of the graphs (e), (f), (g), and (h) shows the changes in the horizontal speed of the object between leaving the ground and returning to the ground?

• AGraph (e)
• BGraph (h)
• CGraph (f)
• DGraph (g)

Q7:

The diagram shows the changes in the horizontal and vertical displacement of an object at equal time intervals. Gravity is the only force acting on the object. Is the object’s horizontal speed increasing, decreasing, or constant?

• AIncreasing
• BDecreasing
• CConstant

Is the object’s vertical speed increasing, decreasing, or constant?

• AIncreasing
• BDecreasing
• CConstant

Is the object’s horizontal acceleration increasing, decreasing, or constant?

• AIncreasing
• BDecreasing
• CConstant

Is the object’s vertical acceleration increasing, decreasing, or constant?

• AIncreasing
• BDecreasing
• CConstant

Is the object’s total speed increasing, decreasing, or constant?

• BConstant
• CIncreasing

Q8:

An object is set in motion by an initial force that acts diagonally upward, as shown in the diagram. The object undergoes projectile motion.   Which of the graphs a, b, c, and d shows the changes in the kinetic energy of the object between leaving the ground and returning to the ground?

• AGraph d
• BGraph b
• CGraph c
• DGraph a

Which of the graphs e, f, g, and h shows the changes in the gravitational potential energy of the object between leaving the ground and returning to the ground?

• AGraph f
• BGraph e
• CGraph h
• DGraph g

Q9:

An object is given a short horizontal push that sets it in motion along a smooth horizontal surface. When the object reaches the end of the surface, it undergoes projectile motion from an initial position to a final position, as shown in the diagram. Which of the graphs (a), (b), (c), and (d) shows the changes in the vertical speed of the object between its initial and final positions?

• AGraph (c)
• BGraph (b)
• CGraph (d)
• DGraph (a)

Which of the graphs (e), (f), (g), and (h) shows the changes in the horizontal speed of the object between its initial and final positions?

• AGraph (g)
• BGraph (e)
• CGraph (f)
• DGraph (h)

Q10:

An object is set in motion by an initial force that acts diagonally upward, as shown in the diagram. The object undergoes projectile motion.   Which of the graphs (a), (b), (c), and (d) shows the changes in the vertical displacement of the object between leaving the ground and returning to the ground? Consider vertically upward displacement as positive.

• AGraph (b)
• BGraph (a)
• CGraph (c)
• DGraph (d)

Which of the graphs (e), (f), (g), and (h) shows the changes in the vertical velocity of the object between leaving the ground and returning to the ground? Consider vertically upward displacement as positive.

• AGraph (g)
• BGraph (f)
• CGraph (h)
• DGraph (e)