Football/receiver projectile motion

AI Thread Summary
A football is thrown at an initial speed of 20.0 m/s and an angle of 30.0 degrees, with the receiver positioned 20.0 m away. The discussion centers on determining the direction and speed the receiver must run to catch the ball at the same height it was thrown. The key point is that the x-component of the football's velocity does not equal the speed at which the receiver should run because the receiver must account for the time it takes for the ball to reach him, which involves vertical motion and the ball's trajectory. The receiver must run at a constant speed that matches the horizontal distance covered by the ball during its flight time. Understanding the relationship between the ball's trajectory and the receiver's movement is crucial for solving the problem effectively.
Arooj
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Homework Statement


A football is thrown toward a receiver with an initial speed of 20.0 m/s at an angle of 30.0o above the horizontal. At that instant, the receiver is 20.0 m from the quaterback. In what direction and with what constant speed should the receiver run in order to catch the football at the level at which it was thrown? Why is the x-component velocity of the football's path not the speed at which the receiver should run?

Homework Equations





The Attempt at a Solution


I understand how to do this problem, but I don't understand why the speed at which the receiver should run to catch the football at the level it is thrown is not equal to the x-component of the football; wouldn't both velocities have to be equal for the receiver to make the catch?
 
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Apparently the receiver was standing still when the ball was thrown.
 
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