Instantaneous Velocity Examples

Description:

Step 1 − When the function of position with rest to time is given, we can calculate function of velocity w.r.t time.

Step 2 − When we have function of velocity then we can calculate definite velocity at a given time.

Example

A particle is moving and its position is given by −

x = 2t² - 6t + 3

Step 1

Instantaneous velocity is given by −

v = dx/dt

The function of velocity is obtained as −

v = 4t - 6

Step 2

Instantaneous velocity at 5.28sec is obtained by −

v = 4(5.28) - 6

v = 21.12 - 6

v = 15.12 ms^-1