Question

How do you find the instantaneous velocity for the particle whose position at time `t` is given by `s(t)=3t^2+5t` ?

Answer 1

by the derivative of the function

we know that the derivative is a rate of change of a function and that velocity is the rate of change of position
,therefore, if we know the expression for position, its derivative will be its velocity
therefore,

`f'(x) = 6t + 5`