Projectile Motion with Horizontal Velocity

Multiple Choice

A ball is projected at an angle with an initial horizontal velocity of 8.0 m/s and an initial vertical velocity of 29.4 m/s. The trajectory diagram shows the position of the ball after each consecutive second.

What is the horizontal velocity of the ball after 6 seconds?

• 0 m/s

• 29.4 m/s

• - 29.4 m/s

• 8 m/s

Multiple Choice

A ball is projected at an angle with an initial horizontal velocity of 8.0 m/s and an initial vertical velocity of 29.4 m/s. The trajectory diagram shows the position of the ball after each consecutive second.

What is the vertical velocity of the ball after 6 seconds?

• 0 m/s

• 29.4 m/s

• - 29.4 m/s

• 8 m/s

Multiple Choice

Two spheres, A and B are simultaneously projected horizontally from the top of a tower. Sphere A has a horizontal velocity of 40m/s and Sphere B has a horizontal velocity of 20m/s. Which statement best describes the time required for the spheres to reach the ground and the horizontal distance they travel?

• Sphere A hits the ground first and lands twice as far away from the base of the tower as Sphere B.

• Both spheres hit the ground at the same time, but Sphere B lands twice as far away from the base of the tower as Sphere A.

• Both spheres hit the ground at the same time and land the same distance from the base of the tower.

• Both spheres hit the ground at the same time, but Sphere A lands twice as far away from the base of the tower as Sphere B.

Multiple Choice

Two spheres of equal mass, A and B, are projected off the edge of a 2.0 m high bench. Sphere A has a horizontal velocity of 5.0 m/s, and sphere B has a horizontal velocity of 2.5 m/s. If both spheres leave the table at the same instant, ball A hits the floor at the spot marked X. Where will ball B hit the floor?

• At some point between the edge of the table and X

• At the same distance from the table as X.

• At some point past X.

• There is not enough information to decide

Multiple Choice

Two spheres of equal mass, A and B, are projected off the edge of a 2.0 m high bench. Sphere A has a horizontal velocity of 5.0 m/s, and sphere B has a horizontal velocity of 2.5 m/s. Which ball will be in the air for the greater amount of time?

• Ball A

• Ball B

• They will be in the air for the same amount of time

• There is not enough information to decide

Multiple Choice

The diagram to the left shows the trajectory (path) of a kicked football. At the point labeled X, what can be stated about the vertical velocity component of the football’s motion?

• The vertical velocity component is equal to 9.8 m/s

• The vertical velocity component is equal to -9.8 m/s

• The vertical velocity component is zero

• The vertical velocity component cannot be determined

Multiple Choice

An object is undergoing free fall motion. As it falls, the object's ____.

• speed increases

• acceleration increases

• both of these

• none of these

Multiple Choice

At what point in its path is the horizontal component of the velocity (v_x) of a projectile the smallest?

• The instant it is thrown

• Halfway to the top

• At the top

• As it nears the top

• It is the same throughout the path.

Multiple Choice

At what point in its path is the vertical component of the velocity (v_y) of a projectile the smallest?

• The instant it is thrown

• Halfway to the top

• At the top

• As it nears the top

• It is the same throughout the path.

Multiple Choice

If a projectile is launched horizontally with a speed of 12.0 m/s from the top of a 24.6-meter high building. Determine the horizontal displacement of the projectile.

• 26.88 m

• 2.24 m

• 18.72 m

• 1.56 m

Multiple Choice

A projectile is launched horizontally from the top of a 45.2-meter high cliff and lands a distance of 17.6 meters from the base of the cliff. Determine the magnitude of the launch velocity.

• 52.8 m/s

• 3.03 m/s

• 23.9 m/s

• 5.79 m/s

Multiple Choice

In an effort to create a cannonball-style splash, eight-year old Matthew runs off the edge of the board of the high dive at 4.6 m/s and falls 2.3 m to the water below.

Determine the time for Matthew to fall the 2.3 m to the water.

• 0.47 s

• 0.69 s

• 0.22 s

• 0.97 s

Multiple Choice

In an effort to create a cannonball-style splash, eight-year old Matthew runs off the edge of the board of the high dive at 4.6 m/s and falls 2.3 m to the water below.

What horizontal distance from the edge of the board will Matthew plunge into the water?

• 1.59 m

• 2.16 m

• 3.17 m

• 1.08 m

Multiple Choice

In an effort to create a cannonball-style splash, eight-year old Matthew runs off the edge of the board of the high dive at 4.6 m/s and falls 2.3 m to the water below.

With what speed (resultant velocity) does Matthew enter the water?

• 6.76 m/s

• 11.36 m/s

• 66.86 m/s

• 8.18 m/s

Multiple Choice

An emergency relief plane is dropping a care package from a plane to a group of medical personnel working for a relief agency in an African village. The package is designed to land in a small lake, inflate an attached raft upon impact, and finally resurface with the raft side down. The plane will be moving horizontally with a ground speed of 59.1 m/s. The package will be dropped a horizontal distance of 521 m from the intended target location. At what altitude above the pond must the plane be flying in order to successfully accomplish this feat?

• 8.82 m

• 381 m

• 43 m

• 86 m