A spinning wheel on a fireworks display is initially rotating in a counterclockw

Question

A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -4 rad/s^2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -25 rad/s. while this change occurs, the angular displacement of the wheel is zero. (Note the similarity to that of a ball being thrown vertically upward, coming to a momentary halt, and then falling downward to its initial position,) Find the time required for the change in the angular velocity to occur

Explanation / Answer

0=-25T+.5*4*T^2 T=12.5S

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