Practice Projectile Motion in Physics

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

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Quick Recap

Two-dimensional motion under gravity alone, where horizontal velocity is constant and vertical motion is uniformly accelerated — producing a parabolic path.

A thrown ball follows a curved path—horizontal motion is steady, vertical is accelerated.

Showing a random 20 of 50 problems.

Example 1

easy
A ball rolls off a table at 5 m/s5 \text{ m/s}. After 0.4 s0.4 \text{ s}, what is its horizontal velocity (ignore air drag)?

Example 2

medium
A projectile is launched at 20 m/s20 \text{ m/s} at 60°60° (g=10g = 10, sin⁡60°≈0.866\sin 60° \approx 0.866, cos⁡60°=0.5\cos 60° = 0.5). Find the maximum height.

Example 3

medium
The same 66 m/s ball (t=1t=1 s) — find its horizontal distance from the table base.

Example 4

medium
For the full flight (lands at launch height) of the 2020 m/s, 30°30° projectile (g=10g=10), find the total flight time.

Example 5

medium
A projectile is launched at 30 m/s30 \text{ m/s} at 30°30° above the horizontal (g=10g = 10, sin⁡30°=0.5\sin 30° = 0.5). Find the maximum height above launch.

Example 6

medium
Compare ranges for projectiles launched on level ground at the same v0v_0 at 30°30° vs 60°60°. Which is greater?

Example 7

medium
Using the launch from X13 (50 m/s50 \text{ m/s}, cos⁡θ=0.8\cos\theta=0.8, sin⁡θ=0.6\sin\theta=0.6, g=10g = 10), find the time to peak height.

Example 8

medium
A ball is kicked at 2525 m/s at angle with cos⁡θ=0.8\cos\theta=0.8, sin⁡θ=0.6\sin\theta=0.6. Find v0xv_{0x} and v0yv_{0y}.

Example 9

easy
A projectile launched at speed v0v_0 at angle θ\theta. Write its initial horizontal velocity.

Example 10

medium
A ball is thrown horizontally at 15 m/s15 \text{ m/s} from a 25 m25 \text{ m} cliff (g=10g = 10). Find the landing time and horizontal distance.

Example 11

easy
Why does a horizontally-thrown ball and a dropped ball hit the ground at the same time (same height)?

Example 12

hard
A ball is kicked horizontally off a 45 m45 \text{ m} high cliff at 20 m/s20 \text{ m/s}. Using g=10 m/s2g = 10 \text{ m/s}^2: (a) How long until it hits the ground? (b) How far from the base of the cliff does it land?

Example 13

easy
A ball is launched horizontally at 1010 m/s. What is its horizontal velocity after 33 s (no air resistance)?

Example 14

medium
For the 2020 m/s, 30°30° projectile (g=10g=10), find the maximum height above launch.

Example 15

medium
Continuing X13–X14: find the maximum height above launch.

Example 16

challenge
A projectile is fired from ground level at 50 m/s50 \text{ m/s} with sin⁡θ=0.6\sin\theta = 0.6, cos⁡θ=0.8\cos\theta = 0.8 (g=10g = 10). At what TWO times is the projectile at height 30 m30 \text{ m}?

Example 17

easy
At the highest point of a projectile's arc, what is its vertical velocity?

Example 18

medium
For the same 30 m/s30 \text{ m/s}, 30°30° launch (g=10g = 10, cos⁡30°≈0.866\cos 30° \approx 0.866), find the horizontal range on level ground.

Example 19

easy
In ideal projectile motion (no air drag), what is the horizontal acceleration?

Example 20

medium
Find v0xv_{0x} and v0yv_{0y} for a launch at 50 m/s50 \text{ m/s} with cos⁡θ=0.8\cos\theta = 0.8, sin⁡θ=0.6\sin\theta = 0.6.
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