Kinematics of Free-Falling Bodies

Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity and how far will he fall?

• y = 33.1 m and v_f = 25.5 m/s

• y = 331 m and v_f = - 255 m/s

• y = 33.1 m and v_f = 255 m/s

• y = 331 m and v_f = 25.5 m/s

The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below.

• - 8.96 s

• 8.96 s

• 8.69 s

• - 8.69 s

A stone that starts at rest is in free fall for 8.0 s.

a. Calculate the stone's velocity after 8.0 s.

b. What is the stone's displacement during this time?

• v_f = 78.4 m/s and y = 313.6 m

• v_f = - 78.4 m/s and y = - 313.6 m

• v_f = 7.84 m/s and y = 31.36 m

• v_f = - 7.84 m/s and y = - 31.36 m

You throw a ball downward from a window at a speed of 2.0 m/s. How fast will it be moving when it hits the sidewalk 2.5 m below?

• 7.3 m/s

• - 7.3 m/s

• 3.7 m/s

• - 3.7 m/s

A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.

• 57 m

• - 57 m

• 57 m/s

• - 57 m/s

A construction worker accidentally drops a brick from a high scaffold.

a. What is the velocity of the brick after 4.0 s?

b. How far does the brick fall during this time?

• v_f = - 39 m/s and y = - 78 m

• v_f = - 39 m and y = - 78 m/s

• v_f = - 39 m/s and y = - 78 s

• v_f = - 39 s and y = - 78 m

Suppose a free-fall ride at an amusement park starts at rest and is in free fall.

a. What is the velocity of the ride after 2.3 s?

b. How far do people on the ride fall during the 2.3-s time period?

• v_f = 23 m/s and y = 26 m

• v_f = - 23 m and y = - 26 m/s

• v_f = - 23 m/s and y = - 26 m

• v_f = - 23 m and y = 26 s

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s². Determine the time for the feather to fall to the surface of the moon.

• 12.9 s

• 12.9 m

• 1.29 m/s

• 1.29 s

You throw a beanbag in the air and catch it 2.2 s later at the same place at which you threw it.

a. How high did it go?

b. What was its initial velocity?

• y = 5.9 s and v₀ = 11 m

• y = 5.9 m and v₀ = 11 s

• y = 5.9 m/s² and v₀ = 11 m

• y = 5.9 m and v₀ = 11 m/s