A quarterback throws a pass that is a perfect spiral. In other words, the football does not wobble, but spins smoothly about an axis passing through each end of the ball. Suppose the ball spins at 6.6 rev/s. In addition, the ball is thrown with a linear speed of 15 m/s at an angle of 47° with respect to the ground. If the ball is caught at the same height at which it left the quarterback's hand, how many revolutions has the ball made while in the air?

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A quarterback throws a pass that is a perfect spiral. In other words, the football does not wobble, but spins smoothly about an axis
passing through each end of the ball. Suppose the ball spins at 6.6 rev/s. In addition, the ball is thrown with a linear speed of 15 m/s at
an angle of 47° with respect to the ground. If the ball is caught at the same height at which it left the quarterback's hand, how many
revolutions has the ball made while in the air?
Transcribed Image Text:A quarterback throws a pass that is a perfect spiral. In other words, the football does not wobble, but spins smoothly about an axis passing through each end of the ball. Suppose the ball spins at 6.6 rev/s. In addition, the ball is thrown with a linear speed of 15 m/s at an angle of 47° with respect to the ground. If the ball is caught at the same height at which it left the quarterback's hand, how many revolutions has the ball made while in the air?
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