How Should the Quarterback Throw to Reach the Moving Receiver?

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SUMMARY

The discussion centers on a physics problem involving a quarterback and a moving receiver, who are initially 16 meters apart. The receiver runs perpendicular to the line between them at a speed of 7 m/s, while the quarterback throws the ball horizontally at 24 m/s after 2 seconds. The key challenge is determining the correct launch angle and timing for the quarterback to successfully reach the moving receiver.

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  • Familiarity with trigonometric functions for angle calculations
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  • Study projectile motion equations to calculate launch angles
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Students studying physics, particularly those focusing on kinematics, as well as coaches and athletes looking to understand the dynamics of passing in football.

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Homework Statement



2 football players are 16m apart. The receiver runs perpendicular to the line joining the two palyers at a constant speed of 7 m/s. after 2 seconds the quarterbak throws the ball with a horizontal velocity of 24m/s

In what horizontal direction and with what vertical launch should the quarterback throw the ball so it reaches the same spot that the receiver will be and what time will the ball be caught?

Homework Equations



once i get the horizontal direction I know how to determine the launch angle and time, I am not sure what to do with the first part

The Attempt at a Solution



I am having trouble setting up the triangle,
 
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so there are three ppl total with the quarterback being one of the 2 players who are 16m apart?
 

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