Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

# Car Acceleration

## Car acceleration calculator.

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

= (vf - v s ) / dt                                           (1)

where

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

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

vf = final speed (m/s, ft/s)

v s = start speed (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

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

### 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 Force

The acceleration force can be calculated as

F = m a                                (3)

where

F = acceleration force (N, lbf )

m = mass of car (kg, slugs)

### Acceleration Work

The acceleration work can be calculated as

W = F l                                    (4)

where

W = work done (Nm, J, ft lbf )

l = distance moved (m, ft)

### Acceleration Power

The acceleration power can be calculated as

P = W / dt                                  (5)

where

P = power (J/s, W, ft lbf /s)

### Example - Car Acceleration

A car with mass 1000 kg (2205 lbm ) accelerates from 0 m/s (0 ft/s) to 27.8 m/s (100 km/h, 91.1 ft/s, 62.1 mph) in 10 s .

The average acceleration can be calculated from eq. 1 as

a = ((27.8 m/s) - (0 m/s)) / (10 s)

= 2.78 m/s2

The average acceleration force can be calculated from eq. 3 as

F = (1000 kg) (2.78 m/s2)

= 2780 N

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2/ 2

= (2.78 m/s2) (10 s)2/ 2

= 139 m

The average acceleration work can be calculated from eq. 4 as

W = (2780 N) (139 m)

= 386420 J

The average acceleration power can be calculated from eq. 5 as

P = (386420 J) / (10 s)

= 38642 W

= 38.6 kW

The calculation can also be done in Imperial units :

The average acceleration can be calculated from eq. 1 as

a = ((91.1 ft/s) - (0 ft/s)) / (10 s)

= 9.11 ft/s2

In the Imperial system mass is measured in slugs where 1 slug = 32.17405 lbm

The average acceleration force can be calculated from eq. 3 as

F = (( 2205 lbm ) (1/32.17405 (slugs/ lbm )) ) (9.11 ft/s2)

= 624 lbf

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2/ 2

= (9.11 ft/s2) (10 s)2/ 2

= 455 ft

The average acceleration work can be calculated from eq. 4 as

W = (624 lbf ) (455 ft)

= 284075 ft lbf

• 1 ft lbf = 1.36 J

The average acceleration power can be calculated from eq. 5 as

P = (284075 ft lbf ) / (10 s)

= 28407 ft lbf /s

• 1 ft lbf /s = 1.36 W = 0.00182 hp

Note that acceleration of a car varies due to gear shifts and motor characteristics.

## Related Topics

• ### Dynamics

Motion of bodies and the action of forces in producing or changing their motion - velocity and acceleration, forces and torque.
• ### Mechanics

The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

## Related Documents

• ### Acceleration

Change in velocity vs. time used.
• ### 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.
• ### Car - Required Power and Torque

Power, torque, efficiency and wheel force acting on a car.
• ### Car - Traction Force

Adhesion and tractive force between car wheel and surface.
• ### Car Fuel Consumption - liter/100 km

Calculate fuel consumption in liter per km - consumption chart and calculator.
• ### Cars - New vs. Old Car Cost Calculator

Calculate and compare the costs between owning a new vs. an old car.
• ### Centripetal and Centrifugal Acceleration Force

Forces due to circular motion and centripetal / centrifugal acceleration.
• ### Disk Brakes - Torque and Force

Forces and torque activated with disk brakes.
• ### Driving Distances between European Cities

Driving distance between some major European cities.
• ### Electrical Vehicle Charging - Power vs. Voltage and Amps

EV Charging - AC vs. DC, single phase vs. three phase and power vs. voltage and amps.
• ### Formulas of Motion - Linear and Circular

Linear and angular (rotation) acceleration, velocity, speed and distance.
• ### Fuel Consumption - mpg

Calculate fuel consumption in miles per gallon - mpg - calculator and consumption charts.
• ### Impact Force

Impact forces acting on falling objects hitting the ground, cars crashing and similar cases.
• ### Kinetic Energy

Energy possessed by an object's motion is kinetic energy.
• ### Piston Engines - Compression Ratios

Cylinder volume and compression ratios in piston engines.
• ### Piston Engines - Displacement

Calculate piston engine displacement.
• ### Rolling Resistance

Rolling friction and rolling resistance.
• ### Toggle Joint

A toggle joint mechanism can be used to multiply force.
• ### Vehicle - Distance Traveled vs. Velcocity and Time Used (mph)

Speed (mph) and time (hours) and distance traveled (miles) chart.
• ### Vehicle - Distance Traveled vs. Velocity and Time (km/h)

Speed (km/h) vs. time (hours) and distance traveled (km).
• ### Vehicles Traffic Flow and Density

Traffic flow and density as used in highway design.

## Search

Search is the most efficient way to navigate the Engineering ToolBox.

## Engineering ToolBox - SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

## Citation

• The Engineering ToolBox (2008). Car Acceleration. [online] Available at: https://www.engineeringtoolbox.com/car-acceleration-d_1309.html [Accessed Day Month Year].

Modify the access date according your visit.

8.21.8

.