Accelerated Motion
Kinematic equations: v = v₀ + at, s = v₀t + at²/2, acceleration and time, free fall and vertical throw.
What to find:
Deceleration is a negative acceleration (a = −2). Velocities and acceleration are projections on the axis of motion. g = 9.8 m/s² (problems often use 10 m/s²).
The uniformly accelerated motion calculator finds velocity, displacement, acceleration and time, and solves free fall problems and problems on objects thrown straight up.
Kinematic equations
| Find | Formula |
|---|---|
| velocity | v = v0 + at |
| displacement | s = v0t + at²/2 |
| displacement without time | s = (v² − v0²) / 2a |
| acceleration | a = (v − v0) / t |
When slowing down, the acceleration points against the velocity and is entered with a minus sign.
Free fall
Without air resistance all bodies fall with acceleration g ≈ 9.8 m/s²: h = gt²/2, v = √(2gh). An object thrown up at v0 rises to h = v0² / 2g.
Example. A stone falls from 45 m (g = 10 m/s²): t = √(2 · 45 / 10) = 3 s, v = 10 · 3 = 30 m/s.
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