The displacement s (in metres) of a particle at time t seconds is given by
s(t)=2t4−3t3+4t.
Answer the following:
a. (i) Find expressions for the velocity v(t) and the acceleration a(t).
b. (ii) Calculate the acceleration at t=1 s and t=2 s.
c. (iii) For 0≤t≤3, determine the interval(s) during which the particle is speeding up and the interval(s) during which it is slowing down.