Instantaneous Speed Formula

The speedometer gives the record of speed for each instant of time. This gives the illustration of instantaneous speed. Instantaneous speed is the speed of a particle in the movement at any desired instant of time. Its formula is articulated as

Instantaneous Speed Formula


  • t is the time taken
  • x is the displacement

Instantaneous speed formula

It is made use of to calculate the rate of change of displacement for any given instant of time. It is articulated in meter per second (m/s).

Instantaneous Speed Solved Examples

Below are some problems based on instantaneous speed which may be helpful for you.

Problem 1: A particle experiences the displacement given by the function x(t) = 10 t2 – 5t + 1. Compute its instantaneous speed at time t = 3s.


Given :

The function is given by x(t) = 10 t2 – 5t + 1

t = 3s

The instantaneous speed is given by

Instantaneous Speed Formula


Instantaneous Speed Formula Related Solved Example


Instantaneous Speed Formula Related Solved Example

Sinst =(20(3)-5)

Sinst = 60-5

Sinst = 55m/s

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