Projectile

Definition

Any object thrown, launched, or dropped that moves under gravity's influence (ideally with no air resistance).

R=v02sin⁡2θgR = \frac{v_0^2 \sin 2\theta}{g}

Unit: m (range)

Technical definition

A body in projectile motion follows a parabolic trajectory described by x = v₀cosθ·t and y = v₀sinθ·t − ½gt², with horizontal velocity constant and vertical motion uniformly accelerated. Range on flat ground: R = v₀²sin2θ/g.

Example

A soccer ball kicked at 20 m/s and 30° travels about 35 m before landing — the classic projectile problem.

Common confusion

Horizontal and vertical motions are independent — the ball's forward speed does not affect how long it stays airborne. That is why a dropped bullet and a horizontally fired bullet hit the ground simultaneously (in vacuum).