Question
1. A particle moves according to a law of motion
s(t) = t3 - 12t2 + 36t , t ≥ 0
where, t is measured in seconds and s in meters.
a) Find the acceleration at time t and after 3 seconds.
b) Graph the position, velocity and acceleration function for 0≤t≤8
c) When is the particle speeding up? When is it slowing down?