Formula of Instantaneous Speed
Its formula is articulated as

1 15

Where,

  • t is the time taken
  • x is the displacement

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.

Answer:

Given :

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

t = 3s

The instantaneous speed is given by

1 16
2 10
3 5

Sinst =(20(3)-5)

Sinst = 60-5

Sinst = 55m/s

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