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
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
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.
The position of honey bee is x = t2 + b
Its instantaneous speed is given by
The instaneous speed of honey bee is 4m/s