Motion in a Straight Line

See how x(t) = x₀ + v₀t + ½at² unfolds — slope = velocity, curvature = acceleration.

Linear v(t) from constant acceleration — area under curve = displacement.

Three-phase step function — area under a-t gives Δv.

Constant velocity — distance markers, looping track, reversible direction.

Ball with initial velocity and constant acceleration — live v and a arrows.

Drop a ball from any height — gravity arrow, v arrow, fall time, impact velocity.

Switch reference frames — ground, A, B — and see velocities transform.

Two objects with different initial positions and velocities — find when and where they meet.

Identify motion type from x-t / v-t / a-t graphs — 6 canonical scenarios.

Numerically integrate a(t) — see v(t) emerge as the integral under a(t).