2.43: Kinematics with velocity inversely proportional to a cube
The velocity, , of a particle travelling in a straight line, seconds after passing through a fixed point , is given by .
(i)[1]
Explain why the direction of motion of the particle never changes.
(ii)[3]
Showing all your working, find the acceleration of the particle when .
(iii)[3]
Find an expression for the displacement of the particle from after seconds.
(iv)[2]
Find the distance travelled by the particle in the fourth second.
