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

##### 1 Answer

Mar 16, 2018

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,