Biomechanics somersault question

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The discussion focuses on the biomechanics of a diver performing somersaults from a 10m tower. The athlete's center of mass is 0.8m above the tower, and she can rotate at 5.7 rad/s in a tucked position. To calculate the number of complete somersaults before reaching 1m above the water, the diver can utilize kinematic equations. Additionally, the discussion addresses the angular velocity required for performing three somersaults in a piked position and the angular acceleration when transitioning to a tucked position during the dive.

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An athlete performs a dive from a handstand off a 10m tower. her center of mass is 0.8m above the tower as she falls into the dive

a) if she can rotate at 5.7rad/s in a tucked position, how many complete somersaults can she do in her dive? assume she must stop rotating 1m above the water to ensure clean entry

b) if she can perform 3 somersualts in a piked position in the same amount of time, what is her angular velocity when performing piked somersautls?

c) the diver is performing a piked dive. she realizes that she won't have enough time to finish her last somersialt and enter the water in a vertical position, so she moves into a tucked position over 0.2s. What is her anguar accel


my question is for a) can i use linear kinematic laws such as v2^2 = v1^2 + 2ad to determine her final velocity 1m from the water, and then use v2 = v1 + at to determine the time it took to go from 10.8m above water to 1m above water? my v2 = -13.87m/s, and my t = 1.41s. does the fact that the diver is rotating make the kinematic laws unusable in this senario?

for b) would i use the equation. w = change in angiular displacement/ t
would change in displacement be 0 since she rotates 3 times and returns to the same position?

thanks a lot =)
 
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