A particle moves along a straight line with velocity given by v(t)=5sin(2t)+3t(SI units). Consider the time interval 0≤t≤πs.
a. (i) Derive an expression for the instantaneous acceleration of the particle.
b. (ii) Determine the maximum and minimum values of the acceleration in the given interval.
c. (iii) Find all instants within 0≤t≤π when the particle momentarily comes to rest. Evaluate the acceleration at each of these instants.