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/s. After 0.4 s, what is its horizontal velocity (ignore air drag)?
Example 2
medium
A projectile is launched at 20 m/s at 60° (g=10, sin60°≈0.866, cos60°=0.5). Find the maximum height.Find the maximum height above launch.
Example 3
medium
The same 6 m/s ball (t=1 s) — find its horizontal distance from the table base.Find the horizontal distance from the table base (t
Example 4
medium
For the full flight (lands at launch height) of the 20 m/s, 30° projectile (g=10), find the total flight time.Find the total flight time for the full arc on level ground.
Example 5
medium
A projectile is launched at 30 m/s at 30° above the horizontal (g=10, sin30°=0.5). Find the maximum height above launch.Find the maximum height above launch.
Example 6
medium
Compare ranges for projectiles launched on level ground at the same v0 at 30° vs 60°. Which is greater?
Example 7
medium
Using the launch from X13 (50 m/s, cosθ=0.8, sinθ=0.6, g=10), find the time to peak height.Find the time to reach maximum height.
Example 8
medium
A ball is kicked at 25 m/s at angle with cosθ=0.8, sinθ=0.6. Find v0x and v0y.Find v₀x and v₀y for the 25 m/s launch.
Example 9
easy
A projectile launched at speed v0 at angle θ. Write its initial horizontal velocity.The horizontal component of launch velocity is v₀cosθ.
Example 10
medium
A ball is thrown horizontally at 15 m/s from a 25 m cliff (g=10). Find the landing time and horizontal distance.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 m high cliff at 20 m/s. Using g=10 m/s2: (a) How long until it hits the ground? (b) How far from the base of the cliff does it land?Find (a) time to hit the ground and (b) horizontal distance from base.
Example 13
easy
A ball is launched horizontally at 10 m/s. What is its horizontal velocity after 3 s (no air resistance)?
Example 14
medium
For the 20 m/s, 30° projectile (g=10), find the maximum height above launch.Find the maximum height above launch.
Example 15
medium
Continuing X13–X14: find the maximum height above launch.Find the maximum height above launch.
Example 16
challenge
A projectile is fired from ground level at 50 m/s with sinθ=0.6, cosθ=0.8 (g=10). At what TWO times is the projectile at height 30 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/s, 30° launch (g=10, cos30°≈0.866), find the horizontal range on level ground.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 v0x and v0y for a launch at 50 m/s with cosθ=0.8, sinθ=0.6.Find v₀x and v₀y.