Originally Posted by

**nameck** 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..