2.8: Displacement, distance travelled and greatest acceleration
A particle moves in a straight line such that its displacement, metres, from a fixed point at time seconds, is given by , where . The particle is initially at rest.
(i)[2]
Find the exact value of when the particle is next at rest.
(ii)[3]
Find the distance travelled by the particle between and seconds.
(iii)[2]
Find the greatest acceleration of the particle.
