A diver is performing at the Olympics in the 10 meter diving event. They run alo

Question

A diver is performing at the Olympics in the 10 meter diving event. They run along the platform and jump up from the end of the platform. The diver has a speed of 5 meters/second when their feet just leave the board (takeoff) at an angle of 70 degrees above horizontal. At this instant of takeoff, their center of gravity is 1 meter above the board (11 meters above the water). They attempt to perform 2½ forward somersaults before entering the water, so their hands hit the water first. The diver requires 0.5 seconds to complete 1 forward somersault, and for safety must hit the water at least 1.5 meters away from the end of the platform. Does the diver complete the 2½ forward somersaults and enter the water safely?

Explanation / Answer

apply

S = u*t + 0.5*g*t^2

-11 = (5*sin(70))*t - 0.5*10*t^2

5*t^2-4.7t-11 = 0

solving for t we get

t = 2.02 s

time taken for 2.5 forward somersaults is 2.5*0.5 = 1.25 S

since 1.25 < 2.02 s,then the diver completes the 2.5 somersaults safely

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