Menu

Acceleration

Part of the Mechanics section of Coddy's Physics journey. Lesson 28 of 97.

Acceleration is the change in velocity divided by the time:

a=v−v0Δta = \frac{v - v_0}{\Delta t}

Unit: m/s2\mathrm{m/s^2}. 2 m/s22\ \mathrm{m/s^2} adds 2 m/s2\ \mathrm{m/s} every second.

A car shown once every second on a road, at t = 1, 2, 3 and 4 seconds, with velocity arrows of 2, 4, 6 and 8 metres per second and an acceleration arrow of 2 metres per second squared that stays the same length

Each second the velocity grows by 2 m/s2\ \mathrm{m/s}, so the car covers more road each second.

A car braking from 20 m/s20\ \mathrm{m/s} to 8 m/s8\ \mathrm{m/s} in 4 s4\ \mathrm{s} has a=8−204=−3 m/s2a = \frac{8 - 20}{4} = -3\ \mathrm{m/s^2}. Velocity and acceleration pointing opposite ways: the object slows down.

challenge icon

Challenge

A skateboarder rolls down a straight hill at 4 m/s4\ \mathrm{m/s} and speeds up with a constant acceleration of 3 m/s23\ \mathrm{m/s^2} for 6 s6\ \mathrm{s}. Taking downhill as positive, find her final velocity vv.

Try it yourself

Physics diagram: ramp, cart; arrows v 0 = 4 m/s, a = 3 m/s², v = ?

Solve for vv

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Mechanics