 # Instantaneous Speed Formula

## 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 movement at any desired instant of time. Its formula is articulated as

Where,

• 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
The instantaneous speed is given by

=(20(3)-5)

= 60-5

= 55m/s

Problem 2: A honey bee is alongside a path. Its position is provided by x = t2 + b. Compute its Instantaneous speed at time t = 2 s.