Biomechanics somersault question

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An athlete diving from a 10m tower has her center of mass at 0.8m above the tower and must stop rotating 1m above the water. For part a, the use of linear kinematic laws is valid to determine her final velocity and time of descent, despite her rotation, as these laws can apply to vertical motion independently of angular motion. In part b, the change in angular displacement for calculating angular velocity is zero since the diver completes three somersaults and returns to the same orientation. The discussion also includes a scenario where the diver switches to a tucked position to adjust her rotation, raising questions about calculating angular acceleration. Overall, the diver's ability to manage her rotation and velocity is crucial for a successful entry.
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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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