2023 Melaka

A particle moves along a straight line and passes through a fixed point O with a velocity of . Its acceleration, a , at t seconds after passing through O is given by a=8-4t. [Assume the movement to the right is positive] a) Find the maximum velocity, in ,of the particle.

b) Find the time, in seconds, of the particle when it passed the fixed point O again.

c) Find the total distance, in m, travelled by the particle in the first 3 seconds.