A particle moves in a straight line and its velocity, 0 ms-1, at time t seconds, is given by V(t) = (t^2-2)^2for 0 ? t ? 2(a) Find the initial velocity of the particle.(b) Find the value of t for which the particle is at rest.(c) the total distance travelled by the particle in the first 2 seconds.(d) Show that the acceleration of the particle is given by a(t) = 4t38t.(e) Find the values of t for which the velocity is positive and the acceleration is negative.

CALCULATOR ALLOWED A particle moves in a straight line and its velocity, v Insl, at time t seconds. is given by 11(t) (1'.2 2V, [or I] S t E 2. (a) Find the initial velocity of the particle. (13:) Find the value of t for which the particle is at rest. (c) Find the total distance travelled by the particle in the rst 2 seconds. (d) Show that the acceleration of the particle is given by alt) 4t\" 8:. (c) Find the values of t for which the velocity is positive and the acceleration is negative