Question

A particle moves along a line so that at time T, where 0<(or equal to) T <(or equal to) pi, its position is given by s(T) = -4cosT - T^2/2 + 10. What is the velocity of the particle when its acceleration is zero?

Answer 1

Because you even write a dot, remember that when the acceleration is zero that means the velocity is constant or uniform. Because velocity is change in position per unit time or rate of change of position we take the derivative of the position function because the derivative of a function is nothing but the rate of change of the function!