S(t)=2/3t^3 ... find the velocity of the particle over the time interval [1, 1 +h]?

Question

S(t)=2/3t^3 ... find the velocity of the particle over the time interval [1, 1 +h]?

Answer 1

find the first derivative with respect to time and evaluate it at that interval.

good luck

Answer 2

V = [s(1+h) -s(1)]/h

V = [2/3(1+h)^3) - 2/3)/h

V = [2(1+h+h^2+h^3)/3 -2/3]/h

V = [h+h^2+h^3]/3h

V= (1+h+h^2)/3