# Acceleration

Acceleration is the ratio * change in velocity * to * time used * and can be expressed as

a = dv / dt

= (v_{ 1 }- v_{0 }) / (t_{ 1 }- t_{0 }) (1)

where

a = acceleration (m/s^{2}, ft/s^{2})

dv = change in velocity (m/s, ft/s)

v_{ 1 }= final speed (m/s, ft/s)

v_{0 }= initial speed (m/s, ft/s)

dt = time taken (s)

t_{ 1 }= final time (s)

t_{0 }= initial time (s)

### Example - Motorcycle Acceleration

If a motorcycle accelerates from * 0 km/h * to * 100 km/h * in * 3 seconds * , the acceleration can be calculated as

a = ((100 km/h) - (0 km/h)) (1000 m/km) / (3600 s/h)) / (3 s)

= 9.26 (m/s^{2})

or close to acceleration of gravity * 1 g = 9.81 (m/s ^{2}) * .

The time from * 0 - 100 km/h * for an acceleration equal to gravity can be calculated by modifying the equation above to

* (9.81 m/s ^{2}) = ((100 km/h) - (0 km/h)) (1000 m/km) / (3600 s/h)) / dt *

* or *

* dt = ((100 km/h) - (0 km/h)) (1000 m/km) / (3600 s/h)) / (9.81 m/s ^{2}) *

* = 2.83 s *

### Acceleration Calculator

The calculator below can be used to calculate acceleration:

Download and print Acceleration vs. Change in Velocity and Time chart

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