Formula of Instantaneous Speed
Its formula is articulated as
![Instantaneous Speed Formula 1 1 15](https://www.educationidol.in/wp-content/uploads/2022/09/1-15.gif)
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
![Instantaneous Speed Formula 2 1 16](https://www.educationidol.in/wp-content/uploads/2022/09/1-16.gif)
![Instantaneous Speed Formula 3 2 10](https://www.educationidol.in/wp-content/uploads/2022/09/2-10.gif)
![Instantaneous Speed Formula 4 3 5](https://www.educationidol.in/wp-content/uploads/2022/09/3-5.gif)
Sinst =(20(3)-5)
Sinst = 60-5
Sinst = 55m/s
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