2020 Penang

A particle P moves along a straight line and passes throuh a fixed point O.Its velocity, v ms^-1, is given by , where t is the time, in seconds, after passing through O. [Assume motion is to the right is positive.] Find (a) the initial velocity, in ms^-1, of the particle,

(b) the maximum velocity, in ms^-1, of the particle.

(c) the value of t at which the particle P is at instantaneous rest,

(d) the total distance, in m, travelled by particle P in the first 6 seconds after passing through O.