# 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/s^{2}, ft/s^{2})

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**

s

tart 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 - *km/h*

### Car Acceleration Diagram - *mph*

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

a = 2 ds / dt^{2}(2)

where

ds = distance moved (m, ft)

### Acceleration of some known cars

### 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/s ^{2}*. The force required for the acceleration can be calculated

*F = (1000 kg) (5 m/s ^{2})*

* = 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)*