How Far and Fast Must a Receiver Run to Catch a Football?

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To determine how far and fast a receiver must run to catch a football thrown at 18 m/s at a 35-degree angle, first calculate the ball's trajectory and time of flight, assuming no outside forces and that delta Y is zero. The ball's horizontal distance can be found using projectile motion equations, which will help establish when it reaches the receiver's position. Once the time of flight is known, the distance the receiver must cover can be calculated, along with the speed required for the receiver to reach that point in time. This problem is a straightforward application of one-dimensional kinematics without acceleration. The solution involves breaking the problem into two parts: analyzing the ball's motion and then determining the receiver's required speed.
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A quarter back throws a ball 18 m/s at an angle of 35 degrees above the horizontal. Standing 18 m away is the receiver. How far does the receiver have to go and at what speed must he travel to catch the ball.

Assume that the delta Y is 0.
Assume that the receiver leaves the same time the ball is thrown.
No outside forces.
 
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I think this belongs in the homework help section. It's a two-part problem, you'll notice. For the first part, ignore the receiver, and just figure out where the ball is going and when it will get there. You should have an equation (or several) to get that answer.

Then, figure out how far the receiver has to go, how long she has to get there, and thus how fast she needs to run to get there. That's just a one-dimensional kinematics problem, and with no acceleration, so that part's easy.

P
 

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