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Question

# You are told that a basketball player spins the ball with an angular acceleration of 100 rad/s$^2$. (a) What is the ball's final angular velocity if the ball starts from rest and the acceleration lasts 2.00 s? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?

Solution

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$\textbf{Knowns}$

\normalsize We know that the rotational kinematic equation that describes the relationship among the time $\color{#c34632}t$, the final angular velocity $\color{#c34632}\omega$, the initial angular velocity $\color{#c34632}\omega_o$ and the angular acceleration $\color{#c34632}\alpha$ is given by:

$\begin{gather*} \omega = \omega_o + \alpha t \tag{1} \end{gather*}$

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