Practice Free Fall in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

Motion under gravity alone, with no air resistance — all objects in free fall accelerate at g≈9.81 m/s² regardless of mass.

A dropped ball accelerates at the same rate regardless of its mass.

Showing a random 20 of 50 problems.

Example 1

easy
An object is dropped from a height of 80 m. How long does it take to hit the ground? Use g=10 m/s2.

Example 2

medium
A ball is dropped from rest. What is the ratio of distances fallen in the 1st, 2nd, and 3rd seconds?

Example 3

medium
An object in free fall accelerates at 9.8 m/s2 at Earth's surface. Approximately what is the free-fall acceleration on the Moon?

Example 4

medium
A ball thrown up at 14 m/s (g=9.8). Find its speed after 1 s.

Example 5

medium
A ball is thrown straight up with an initial velocity of 20 m/s. Using g=10 m/s2: (a) How long until it reaches its highest point? (b) What maximum height does it reach? (c) What is its velocity when it returns to the starting height?

Example 6

easy
A rock falls from rest for 1 s (g=9.8). How far does it fall?

Example 7

hard
A stone dropped from rest passes a 10 m tall window in 0.5 s. From what height above the top of the window was it released? Use g=10 m/s2.

Example 8

challenge
Two balls are released from the same point at height 80 m. The first is dropped from rest; 1 second later, the second is thrown straight down at 20 m/s. Using g=10 m/s², does the second ball catch the first before either lands?

Example 9

hard
A ball is thrown up from a 25 m rooftop at 20 m/s. Find its speed just before hitting the ground. Use g=10 m/s2.

Example 10

challenge
A ball is thrown up from the ground at 30 m/s (g=10). At what times is it at height 40 m?

Example 11

hard
A rocket accelerates upward at 20 m/s2 for 4 s, then engines cut off. How high does it rise in total above launch? Use g=10 m/s2 thereafter.

Example 12

easy
Use g=10 m/s2. A stone dropped from rest reaches what speed after 4 s?

Example 13

medium
A ball is thrown up at 9.8 m/s. How high above launch does it rise? Use g=9.8 m/s2.

Example 14

medium
A ball is dropped from 20 m (g=10). How long to hit the ground?

Example 15

easy
A ball is dropped from rest. Find its speed after 2 s (g=9.8 m/s2).

Example 16

easy
A ball is thrown down at 5 m/s (g=9.8). Its speed after 2 s?

Example 17

medium
A stone is thrown up at 19.6 m/s (g=9.8). What maximum height does it reach?

Example 18

medium
An object is thrown straight up at 40 m/s. At what time(s) is it 60 m above the ground? Use g=10 m/s2.

Example 19

hard
A ball is thrown up from the ground at 30 m/s. How long does it spend above 25 m? Use g=10 m/s2.

Example 20

easy
An object falls from rest for 0.5 s. How far has it fallen? Use g=10 m/s2.
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