Question

A particle moves on a line away from its initial position so that after t hours it is s=3t^2+t miles from its initial position.
How do you find
a) the average velocity of the particle over the interval [1,3]
b) the instantaneous velocity at t=1

Answer 1

The average velocity is the total distance covered in the interval over the total time of that interval.. in this case;



and instantaneous velocity at any time instant 't' is given by the derivative ds/dt

put t=1 to get instantaneous velocity at t=1..

Good luck! tell me if you encounter further problem