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CLASSICAL MECHANICS / LAB 02

Projectile-motion laboratory

Launch, measure and compare trajectories in a vacuum or through moving air. Change one condition and let the path reveal the physics.

Numerical trajectory Ideal vacuum
READY
Time 0.00 sDistance 0.00 mHeight 0.00 mSpeed 0.00 m/s

LIVE GRAPHS

Flight diagnostics

Maximum height—at —
Flight time—measured / predicted
Range—landing distance
Velocity—vx — · vy —
Energy—KE — · PE —

COMPARISON TABLE

Completed launches

#PresetSpeedAngleDragWindRangeMax heightFlight time
Complete a launch to add its result.

WHAT YOU ARE SEEING

One launch, two connected motions.

01

Horizontal and vertical

In the ideal model, horizontal velocity remains constant while gravity steadily changes vertical velocity. Combining them produces a parabola.

02

Drag and relative airspeed

Drag acts opposite the projectile's velocity relative to the moving air. Greater air density, area or drag coefficient increases the force.

03

Why 45° is conditional

A 45° launch maximises range only when launch and landing heights match and there is no drag or wind. Real trajectories often favour a lower angle.

Horizontal positionx(t) = x₀ + v₀ cos(θ)t
Vertical positiony(t) = y₀ + v₀ sin(θ)t − ½gt²
Level-ground rangeR = v₀² sin(2θ) / g