A small puck of unknown mass rests on a smooth horizontal air track. Starting from rest at t=0, it is subjected to a time-dependent horizontal force F(t)=0.12t2N, where t is in seconds. After 5.0s, the speed of the puck is measured to be 3.0ms−1.
(i) Express the instantaneous acceleration of the puck as a function of time.
(ii) Derive an expression for the speed v(t) of the puck as a function of time, taking the initial speed to be zero.
(iii) Using the measured speed at t=5.0s, determine the inertial mass of the puck.