# 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

## Related Topics

### • Dynamics

Motion - velocity and acceleration, forces and torque.

## Related Documents

### Acceleration of Gravity and Newton's Second Law

Acceleration of gravity and Newton's Second Law - SI and Imperial units.

### Acceleration Units Converter

Converting between units of acceleration.

### Acceleration vs. Velocity Equations

Useful equations related to acceleration, average velocity, final velocity and distance traveled.

### Capacitors

Capacitors and capacitance - charge and unit of charge.

### Car - Traction Force

Adhesion and tractive force between car wheel and surface.

### Car Acceleration

Car acceleration calculator.

### Centripetal and Centrifugal Acceleration Force

Forces due to circular motion and centripetal / centrifugal acceleration.

### Conn-Rod Mechanism

The connecting rod mechanism.

### Conservation of Momentum

The momentum of a body is the product of its mass and velocity - recoil calculator.

### Disk Brakes - Torque and Force

Forces and torque activated with disk brakes.

### Force

Newton's third law - force vs. mass and acceleration.

### Formulas of Motion - Linear and Circular

Linear and angular (rotation) acceleration, velocity, speed and distance.

### Mass vs. Weight

Mass vs. weight - the Gravity Force.

### Piston Engines - Displacement

Calculate piston engine displacement.

### Rolling Resistance

Rolling friction and rolling resistance.