A particle moves along the x-axis so that its position in meters after t seconds is given by the function s(t)=1/3t^3+5/2t^2 Find:

a) The velocity and acceleration functions.

b) The velocity when t=4

c) the acceleration when t=3

d) the position of the particle when the velocity is 66m/s

e) the velocity of the particle when the acceleration is 13m/s^2