The displacement of a particle P P\,P from the origin at time t t\,t seconds is s=t2(t+k)s = t^2(t + k)s=t2(t+k) metres, where k k\,k is a constant.
P P\,P is instantaneously at rest when t=4t = 4t=4.
Show that k=−6k = -6k=−6.
Find the acceleration of P P\,P when t=10t = 10t=10.