TOPIC 2 TOOLKIT

Make motion visible.

Change any input and see the equation, sign convention and result immediately.

SUVAT explorer

For constant acceleration, calculate final velocity and displacement from u, a and t.

u / m s⁻¹a / m s⁻²t / s

FINAL VELOCITY13.00 m s⁻¹

v = u + at

DISPLACEMENT36.00 m

s = ut + ½at²

Model a straight graph segment. Gradient gives acceleration; area gives displacement.

Initial vFinal vTime / s

GRADIENT2.00 m s⁻²

(v − u)/t

AREA28.00 m

½(u + v)t

Drop an object from rest, ignoring air resistance. Downward is the positive direction.

Height / m

FALL TIME2.02 s

t = √(2h/g)

IMPACT SPEED19.81 m s⁻¹

v = √(2gh)

Launch and land at the same height with no air resistance.

Launch speed / m s⁻¹Angle / °

COMPONENTS14.74, 10.32

u cos θ, u sin θ

TIME / RANGE / HEIGHT2.10 s · 31.04 m

maximum height 5.43 m