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.
Formula of Instantaneous Speed
Its formula is articulated as
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
Sinst =(20(3)-5)
Sinst = 60-5
Sinst = 55m/s
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