Compute time to fall and impact velocity from a given height. Toggle air resistance and switch between Earth, Moon, and Mars. Includes live animation plus y(t) and v(t) graphs.
| Color | Label | h | g | v0 | timpact | vimpact |
|---|
t = (-v₀ + √(v₀² + 2 g h)) / gv = v₀ + g · ty(t) = h − v₀ t − ½ g t²m dv/dt = m g − ½ ρ Cd A v |v|dy/dt = v integrated numerically (time step 0.005 s)vt = √(2 m g / (ρ Cd A))Highlight that in a vacuum, all objects share the same acceleration g regardless of mass.
Freeze the animation at quarter intervals and ask students to match the position with points on y(t).
“Heavier falls faster” only holds with drag. Show how terminal speed depends on mass, area, and drag coefficient.
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Computes free‑fall distance, time, and velocity under uniform gravity (optionally with initial velocity). Uses SI units and the standard kinematics equations.