a particle moves along the x-axis ins such a way that its postion s at time t is
s(t)= 3t^4-16t^3+24t^2, for -5 is less than and equal to t, t is less than and equal to 5
(a) determine the velocity and acceleration of the particle at time t.
(b) at what values of t is the particle at rest?
(c) at what values of t does the particle change direstion?
(d) what is the velocity when the acceleration is zero for the first time.
(e) determine the distance travelled from t=0 to t=5.