The displacement (in meters) of a particle moving in a straight line is given by s=t^2-8t+18, where t is measured in seconds, find the instantaneous velocity when t=4
Velocity is the rate of change of displacement. The instantaneous velocity of a particle is the first derivative of the expression for displacement.
Here, displacement is given as s = t^2 - 8t + 18.
s' = 2t - 8
At t = 4, s' = 2*4 - 8 = 0
The instantaneous velocity of the particle at t = 0 is 0 m/s.