← Acceleration

Read the unit m/s²

Dividing a velocity change in m/s by a time in s gives which unit?

The unit m/s² came out of the acceleration equation you've already seen. Read as a sentence, it says exactly what the acceleration is doing.

The unit m/s² means the velocity changes by so many meters per second during each second.

An acceleration of 3 m/s² changes the velocity by 3 m/s during each second of that acceleration.

time (s)velocity (m/s)05182113143 m/s gained every second, every second

Read the table row by row. The velocity starts at 5 m/s, not at zero. One second on, it reads 8 m/s. Every row is 3 m/s more than the row before.

The ² squares nothing in the value. One 'per second' is part of velocity's own unit, m/s. Dividing by the time adds the second one.

A car's acceleration is 4 m/s². By how much, in m/s, does the car's velocity change during each second of this acceleration?

An SUV has an acceleration of 6 m/s². Read the unit as 'meters per second, per second'. The SUV's velocity changes by 6 m/s during each second of the acceleration.

One machine has an acceleration of 2 m/s²; another has 5 m/s². The 5 m/s² machine's velocity changes faster: it changes by 5 m/s during each second, against 2 m/s for the other machine.

What does an acceleration of 8 m/s² mean?

A go-kart's velocity changes by 5 m/s during each second. What is the go-kart's acceleration?

Your turn

Conveyor P has an acceleration of 4 m/s²; cart Q has an acceleration of 7 m/s². Which statement is correct?

An engineer records a rocket sled's acceleration as 12 m/s². Which reading of that value is correct?

A drone accelerates at 9 m/s² in the direction it is already moving. At the start of one particular second its velocity is 21 m/s. What is its velocity, in m/s, at the end of that second?