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Acceleration

Part of the Mechanics section of Coddy's Physics journey. Lesson 25 of 94.

Acceleration is the change in velocity divided by the time:

a = (v - v0) / Δt

Unit: m/s². 2 m/s² adds 2 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/s, so the car covers more road each second.

A car braking from 20 m/s to 8 m/s in 4 s has a = (8 - 20)/4 = -3 m/s². Velocity and acceleration pointing opposite ways: the object slows down.

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Challenge

A skateboarder rolls down a straight hill at 4 m/s and speeds up with a constant acceleration of 3 m/s² for 6 s. Taking downhill as positive, find her final velocity v.

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