**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 and x is the displacement.

**Instantaneous speed formula** 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 t^{2} – 5t + 1. Compute its instantaneous speed at time t = 3s.

**Answer:**

Given : The function is given by x(t) = 10 t^{2} – 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 = t^{2} + b. Compute its Instantaneous speed at time t = 2 s.

**Answer: **

The position of honey bee is x = t^{2} + b

Its instantaneous speed is given by

= 2(2)

=4 m/s

The instaneous speed of honey bee is 4m/s