# What Is the Formula for Acceleration?

**The formula for acceleration is given as a = (v _{2} – v_{1}) / (t_{2} – t_{1}), where “a” denotes the acceleration, “v_{2}” indicates the final velocity, “v_{1}” represents the initial velocity and “t_{2} – t_{1}” is the time interval between the final and initial velocities.** The SI unit for acceleration is meters per second squared (m/s

^{2}), while the British imperial unit is feet per second squared (ft/s

^{2}).

Kinematics is the branch of physics that describes motion. It involves three vector quantities: displacement, velocity and acceleration. Displacement refers to the difference in final and initial positions of a moving object, while velocity pertains to the change in position with respect to time. Acceleration is the rate of change of velocity, including its direction.

The two types of acceleration are average acceleration and instantaneous acceleration. Average acceleration is the difference in final and initial velocities within an elapsed amount of time. Speeding up denotes a positive acceleration, while slowing down indicates a negative acceleration. An object moving at a uniform velocity is said to have zero acceleration. Instantaneous acceleration refers to the average acceleration within a small period of time. As time approaches zero, the limit of the average velocity is equal to its instantaneous velocity. An object that experiences free fall is influenced by the acceleration due to gravity. This value is equivalent to 32 ft/s^{2}.