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So here it goes:

(A) A particle is projected vertically upwards with velocity

*u*m/s and is at a height

*h*after

*t1*and

*t2*seconds respectively. Prove that:

t1.t2 = (2h)/g

(B) A car accelerates uniformly from rest to a speed

*v*m/s. It then continues at this constant speed for

*t*seconds and then decelerates uniformly to rest.

The average speed for the journey is (3v)/4

(i) Draw a speed-time graph and hence, or other wise, prove that the time for the journey is 2t seconds.

(ii) If the car driver had observed the speed limit of (1/2)v, find the least time the journey would have taken, assuming the same acceleration and deceleration as in (i).

Arghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh!