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Kinematics · 26 min

Free Fall & Projectile Motion

Two directions, completely independent, happening at once.

Why should I care?

If you drop one ball straight down and launch another sideways from the same height at the same instant, which one hits the ground first?

They land at the same time. Horizontal motion and vertical motion don't interfere with each other — the sideways velocity never affects how fast the ball falls.

Explore

Trace the parabola

Adjust launch angle and speed, and watch the horizontal and vertical components trace out separately before combining into the familiar parabolic path.

Height (m)Horizontal distance (m)

The idea

Independence of motion

Projectile motion is two separate 1D motions happening simultaneously: constant horizontal velocity (no acceleration, ignoring air resistance) and vertical motion under constant acceleration due to gravity. Solve each axis with SUVAT separately, then combine.

x = v₀ₓt | y = v₀ᵧt − ½gt²

True or false?

A faster horizontal launch speed makes a projectile fall to the ground more slowly.

Worked example

Worked example

A ball is launched horizontally at 12 m/s from a 20 m cliff. Find the time to land and the horizontal distance travelled. (g = 9.8 m/s²)

  1. 1

    Vertical motion only decides fall time: y = ½gt².

Your turn

What determines how long a projectile launched horizontally stays in the air?

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