(a) A car is moving with a velocity of 10ms${}^{-1}$ It then accelerates at 0.2ms${}^{-2}$ for 100m. Find, correct to two decimal places the time taken by the car to cover the distance.
(b) A particle moves along a straight line such that its distance S metres from a fixed point O is given by S = t${}^2$ - 5t + 6, where t is the time in seconds. Find its:
(i) initial velocity;
(ii) distance when it is momentarily at rest


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