Topic · 3 games

Projectile motion: two motions at once

A launched object moves across at constant velocity while it falls with constant acceleration. Predict fall times, heights, and ranges by treating the two motions separately.

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3 games

PLAY NOW · 23

Air Drop: Hit the Target from the Plane

A plane in level flight drops a supply crate. Predict how long it falls, where to release it, and how fast it lands, and watch it stay right below the plane all the way down.

Horizontal launchIndependent motions
Play Air Drop
Fall time
t = √(2h ÷ g)
Distance forward
d = v·t

PLAY NOW · 24

Two Shadows: One Throw, Two Simple Motions

Throw a ball at an angle and follow its two shadows: the floor shadow glides at constant speed, the wall shadow rises, stops, and falls. Predict the components, the top, and the landing.

Velocity componentsAngled launch
Play Two Shadows
Floor shadow
x = v₀·cos θ·t
Wall shadow
y = v₀·sin θ·t − ½·g·t²

PLAY NOW · 25

Range Cannon: Find the Angle

Fire a cannon at different angles. Predict the range, find the second angle that lands in the same spot, and work out the angle or speed that hits a target.

RangeLaunch angle
Play Range Cannon
Range
R = v₀²·sin(2θ) ÷ g
Same range
θ₂ = 90° − θ

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