What Angle Should a Quarterback Throw to Hit a Stationary Receiver?

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SUMMARY

The discussion centers on calculating the angle at which a quarterback must throw a football to hit a stationary receiver while running parallel to the line of scrimmage. The correct angle is determined to be approximately 17.35 degrees, with the receiver located 22.80 meters downfield. The initial miscalculation of 72 degrees and 25 meters stemmed from an incorrect application of the tangent function. The final resolution involved using the relationship between the quarterback's speed and the throw speed to find the accurate angle and distance.

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This discussion is beneficial for physics students, sports coaches, and anyone interested in understanding the mechanics of throwing in sports, particularly football dynamics.

Tensaiga
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Hello, there's my question.

A quarterback is running across the field, parallel to the line of scrimmage, at a constant speed of 2.5m/s, when he spots an open, stationary receiver straight downfield from him (ie, in a line parallel to the sidelines). If he can throw the football at a speed of 8.0m/s, relative to himself, at what angle, relative to the sidelines, must he throw it in order to hit the receiver? How far downfield was the receiver

I drew a diagram but i got 72 degress and 25m as the answer... but the correct answer should be 18 degrees and 23m. where did i go wrong?

i used tan = 8/2.5 and used that answer mutiplied by the velocity.

Thanks

Sorry i posted in the wrong place, just saw the head lines now...
 
Last edited:
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Show us your work.

Hint: What is the velocity of the ball relative to the (static) ground.
 
oh never mind i get it now = =

it's suppose to be Tan angle = 2.5/8
= 17.35 degrees

then C^2 = A^2 + B^2
= 22.80m
thanks~
 

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