What Was the Velocity of the Football Thrown by the Quarterback?

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The discussion centers on calculating the velocity of a football thrown by a quarterback to a receiver. The quarterback is positioned at the 10-yard line, and the receiver runs at 8.0 m/s to the 30-yard line. The throw is made at a 30-degree angle, and the participants express confusion about incorporating component vectors and time calculations. The main challenge involves determining the time it takes for the receiver to catch the ball, which leads to a cycle of equations without a clear solution. The conversation highlights the complexities of projectile motion and the need for a structured approach to solve the problem.
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Homework Statement



"A quarterback standing at his own 10.0 yard line throws the football to a receiver at the moment the receiver crosses the (nearer) 30.0 yard line. Knowing that the receiver runs with a velocity of 8.0 m/s, and the quarterback threw the football at an angle of 30 degrees, and that the pass was complete, what was the velocity with which the ball was thrown? (1yard= .01m).

Homework Equations





The Attempt at a Solution



First, I drew myself a diagram..
delta x = Vox *t= (30-10)*t + 8.0*t
T=2Vo sin 30deg / 9.8 = Vo/9.8

I don't know if i have to get into component vectors, and use pythagorean theorem, or what not. I have no clue how to solve this...
 
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Well, I'd say you'd have to find out the amount of time it takes the reciever to catch the ball first.
 
Sirsh said:
Well, I'd say you'd have to find out the amount of time it takes the reciever to catch the ball first.

I've tried doing that. I just ended up with a bunch of equations with t and Vo and I when I put them together I just go in circles.
 

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