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A quarterback is set up to throw the football to a receiver who is running with a constant velocity v_{r} directly away from the quarterback and is now a distance "D" away from the quarterback. The quarterback figures that the ball must be thrown at an angle \theta to the horizontal and he estimates that the receiver must catch the ball a time interval t_{c} after it is thrown to avoid having opposition players prevent the receiver from making the catch. In the following you may assume that the ball is thrown and caught at the same height above the level playing field. Assume that the y coordinate of the ball at the instant it is thrown or caught is y= 0 and that the horizontal position of the quaterback is x= 0.
Use "g" for the magnitude of the acceleration due to gravity, and use the pictured inertial coordinate system when solving the problem.
Find v_{0y}, the vertical component of the velocity of the ball when the quarterback releases it. express v_{0y} only in terms of t_{c} and "g"
Use "g" for the magnitude of the acceleration due to gravity, and use the pictured inertial coordinate system when solving the problem.
Find v_{0y}, the vertical component of the velocity of the ball when the quarterback releases it. express v_{0y} only in terms of t_{c} and "g"
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