Distance between tennis ball and the top of the net

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Homework Help Overview

The discussion revolves around a physics problem involving projectile motion, specifically analyzing the trajectory of a tennis ball served at a certain speed and angle relative to a net. The problem requires participants to determine the distance between the ball and the top of the net at two different launch angles.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss setting up equations for both horizontal and vertical motion, questioning initial conditions such as initial height and velocity. There is exploration of time calculations based on horizontal distance and velocity.

Discussion Status

The conversation is ongoing, with participants providing hints and guidance on how to approach the problem. There are multiple interpretations of the equations and conditions, particularly regarding the effects of gravity and the initial velocities in different directions.

Contextual Notes

Participants are navigating potential confusion regarding the application of equations in different dimensions and the signs associated with acceleration due to gravity. The problem involves specific constraints such as the height of the net and the initial height of the ball.

  • #31
No I don't, I use the x component in equation 1 and get the time then I plug the time back into equation 2 along with the y component and solve correct?
 
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  • #32
t=12/25.2 = .476s

y=2.5+2.21(.476)-.5(9.8)(.476)^2

y= 2.44

2.44-.9= 1.54m above the net correct?
 
  • #33
Not exactly. I think you got your signs mixed up. It says 5 degrees below the horizontal. What would the components be. Write them out.
 
  • #34
You need to substitute -g for acceleration, since the 'direction' of g is downwards.
 

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