# Car Acceleration

## Calculate acceleration of car

If you know the initial and final velocity of a car (or whatever) - and the time used - the average acceleration can be calculated as

a = dv / dt                                             (1)

where

a = acceleration of object (m/s2, ft/s2)

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

dt = time used (s)

Common benchmark velocities for acceleration of cars and motorcycles are

• 0 - 60 mph = 0 - 26.8 m/s = 0 - 96.6 km/h
• 0 - 100 km/h = 0 - 27.8 m/s = 0 - 62.1 mph

### Online Car Acceleration Calculator

km/h

start speed (km/h)

final speed (km/h)

time used (s)

mass of object (kg)

Note that force, work and power are calculated for mass acceleration only. Forces due to air resistance (drag) and rolling friction are not included.

#### mph

start speed (mph)

final speed (mph)

time used (s)

### Car Acceleration Diagram - mph

If you know the distance moved and the time used - the acceleration can be calculated as

a = 2 ds / dt2                                 (2)

where

ds = distance moved (m, ft)

### Acceleration Force

The acceleration force can be calculated as

F = m a                                (3)

where

F = acceleration force (N)

m = mass of car (kg)

#### Example - Acceleration of Sports Car

A sports-car with mass 1000 kg accelerates with acceleration 5 m/s2.  The force required for the acceleration can be calculated

F = (1000 kg) (5 m/s2)

= 5000 N

= 5 kN

### Acceleration Work

The acceleration work can be calculated as

W = F l                                    (4)

where

W = work done (Nm, J)

l = distance moved (m)

### Acceleration Power

The acceleration power can be calculated as

P = W / dt                                  (5)

where

P = power (J/s, W)

## Related Topics

• Dynamics - Motion - velocity and acceleration, forces and torques
• Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more

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