A force acting on a mass 5 kilogram over an interval of time is described by the equation F(t) = 7t3 - 2t +4, where F is Newton's and t in seconds. The mass is at rest at t = 0.
a) Obtain the change in momentum of the mass for the interval t= 0 to t = 5?
b) Obtain the speed of mass at the end of 5 seconds in part (a)?
c) Find what is the instantaneous acceleration at t = 5?