Let s = s(t) be the position function of a particle moving in a straight line.
Suppose that the position of the particle is given by the formula
s (t) = t^2 e^-t ; t >= 0
where t is measured in seconds and s in meters.
(i) Find the velocity of the particle at time t.
* should i differentiate s(t) to get the velocity?
(ii) When is the particle at rest?
* when velocity = 0.. am i right?
(iii) Find the total distance traveled by the particle during the first two seconds.
*dont have any idea..