Help Me Understand: Homework on Tennis Ball Motion

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SUMMARY

The discussion centers on calculating the average speed required for a tennis player to reach a ball lofted at an initial speed of 15.0 m/s at a 50-degree angle. The player begins moving 0.30 seconds after the ball is hit, aiming to intercept it when it is 2.10 m above its launch point. The horizontal and vertical components of the ball's motion are calculated, with horizontal velocity (Vx) at 9.6 m/s and vertical velocity (Vy) at 11.5 m/s. The solution involves determining the horizontal distance traveled by the ball and comparing it to the initial distance of 10.0 m to find the necessary average speed of the opponent.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with kinematic equations
  • Basic concepts of vertical and horizontal motion separation
NEXT STEPS
  • Calculate the time it takes for the tennis ball to reach 2.10 m using the vertical motion equations.
  • Determine the horizontal distance the ball travels during that time.
  • Calculate the distance the opponent must cover to reach the ball's landing point.
  • Compute the average speed required for the opponent to reach the ball in the given time frame.
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators looking for practical examples to illustrate these concepts.

whyorwhynot
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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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