Acceleration
Change in velocity vs. time used.
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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