Average Velocity and Instantaneous Velocity question...

[Guest]

Any help would be greatly apprecated...

The displacement(in meters) of a particle moving in a straight line is given by s=4t^3, where t is measured in seconds. Find the average velocity of the particle over the time interval [10, 13].

Find the instantaneous velocity of the particle when t=10.

 

[daveyp225]

Avg velocity = change in distance / change in time

change in distance = s(13) - s(10)
change in time = 13 - 10

For instantaneous, use differentiation
instantatenous velocity at t=10 = s'(10)