A diver of mass 65 kg takes off from the 10 m platform from a standing position by jumping upwards with a (near) vertical speed of 2.0 ms-.

a) Calculate

i) the time taken to reach the water;

ii) the initial gravitational potential energy:

iii ) the initial kinetic energy.

b) Use 2 methods (uniform motion equations and the principle of conservation of energy) to check the accuracy of the statement at the beginning of the passage that a diver jumping from the high platform will hit the water at 30 mph.

c) Sketch graphs of i) displacement against time and ii) velocity against time for the dive, pointing out the important features of the graphs and the relationship between the two graphs.

a) Compare and contrast the trajectories of a diver leaving the 10m platform with

i) a running take-off with a horizontal velocity of 3.0 ms. ii) a running take-off with a velocity of 3.0 ms with an angle of elevation of 60.

[Aspects to consider: the shape of the path; the time taken to reach the water; the horizontal distance

travelled; the speed of impact with the water; the angle of impact with the water.]

b) Explain how the position adopted in flight would affect the trajectory of the diver.

Write an illustrated account to analyse the energy changes that take place when a diver makes a dive from a springboard.