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A particle A moves in a straight line with uniform acceleration from a point O towards a point P. After 3 seconds  it is 33m from O and after 5 seconds it 75 m from O. Calculate   (a)...

Two soldiers P and Q who swim at 1.2m/s in still water leave A to cross a tiver 30 m wide as shown. The water is flowing between straight parallel banks at 2m/s.   (a) P swims directly...

A spherical balloon is released from rest and expands as it rises. After rising for t seconds, its radius is r cm and its surface area is A cm^2, where A=(4)(pi)(r^2). The initial radius of the balloon...

A man 1.5m tall is walking at a speed of 2m/s away from a lamppost which has a lamp 5m above the ground as shown in the figure. Find    (a) the rate at which the length of his shadow...

A particle P moves in a straight line so that its displacement , s metres, from a fixed point O is given by s=t^3-9t^2+24t+2 where t is the time in seconds after the start of motion. Calculate   (a)...

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