A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms^-1, t seconds after passing through O, is given by v = 10t – t².

a. Find the velocity of the particle when the acceleration is 6 ms^-2.

b. Find the time taken before the particle returns to O.

c. Find the distance travelled by the particle in the 2^nd second.

d. Find the distance travelled by the particle before it comes to instantaneous rest.

e. Find the distance travelled by the particle in the first 12 seconds.