Help Me Understand: Homework on Tennis Ball Motion

AI Thread Summary
The discussion revolves around a physics homework problem involving the motion of a tennis ball and an opponent's response. The ball is launched at 15.0 m/s at a 50-degree angle, and the opponent starts moving 0.30 seconds later to intercept it when it reaches 2.10 meters in height. Key calculations include determining the horizontal distance the ball travels during its ascent and comparing this to the opponent's initial distance of 10.0 meters. The solution requires calculating the time it takes for the ball to reach the specified height and then using that time to find the average speed the opponent must maintain to reach the ball. Understanding these steps is crucial for solving the problem effectively.
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I feel like giving up on learning this, really. I don't understand why I can't understand this, yet it seems so simple.

Homework Statement


Suppose that you loft a tennis ball over the net with an initial speed of 15.0 m/s, at an angle of 50 degrees above the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.30 s later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)


Homework Equations





The Attempt at a Solution


Vx = (cos 50)(15) = 9.6 m/s
Vy = (sin 50)(15) = 11.5 m/s

Horizontal:
Vx = 15.0 m/s
x = 10.0 m

Vertical:
a = -9.8 m/s2
Vy = 11.5 m/s

I don't know where to go from there.

Thank you if you can help me.
 
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First you will need to find how far horizontally the tennis ball moves by the time it reaches 2.1 meters above the launch position. Secondly you will need to compare this to the distance the opponent starts out at and the distance he wants to be at (the distance of the ball you just worked out). Then you can work out how long he has to move that distance and the speed he should move.
 
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