Acceleration Calculator
Result
10 mps2
About the Acceleration Calculator
Acceleration is the rate at which an object changes its velocity over time. Because velocity is a vector quantity containing both speed and direction, an object accelerates when it speeds up, slows down, or changes direction.
Mathematical Formula & Logic
The formula for average acceleration is:
a = (v_f - v_i) / t
Where:
- a = Acceleration in meters per second squared (m/s²)
- v_f = Final velocity in meters per second (m/s)
- v_i = Initial velocity in meters per second (m/s)
- t = Time interval in seconds (s)
Step-by-Step Example
A car accelerates from rest (0 m/s) to 30 m/s in 6 seconds. Calculate its acceleration: a = (30 - 0) / 6 = 5 m/s².
Reference Data & Values
| scenario | value m_s2 | description |
|---|---|---|
| Gravity on Earth (g) | 9.80665 m/s² | Standard free fall acceleration |
| Gravity on the Moon | 1.62 m/s² | Approx 1/6th of Earth gravity |
| Performance sports car | 8.0 m/s² | 0 to 100 km/h in under 3.5 seconds |
| Commercial Passenger Jet takeoff | 3.0 m/s² | Steady linear runway launch acceleration |