How Should the Quarterback Throw to Reach the Moving Receiver?

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To successfully throw the ball to a moving receiver, the quarterback must account for the receiver's speed and the distance between them. The receiver, running at 7 m/s for 2 seconds, will cover 14 meters, leaving a 2-meter gap from the original line. The quarterback needs to throw the ball with a horizontal velocity of 24 m/s to ensure it reaches the receiver at the right time. The correct launch angle and timing can be calculated once the horizontal direction is established. Understanding the geometry of the situation is crucial for determining the trajectory of the throw.
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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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