# Homework Help: Tennis problem unsolvable?

1. Mar 2, 2014

### physicshelpme

1. The problem statement, all variables and given/known data

1. Consider tennis net which is 2 ft high at its center point; the service line is 20 ft from the net, and the baseline is 30 ft from the net. You have a bullet-like service that travels in a straight line, just clearing the net before hitting the service line.
a) What angle does the trajectory of this serve make with the horizontal?
b) At what height above the ground is the ball struck with the racket?
2. Relevant equations
1)i dont know how i would find an angle without given one? do i need to assume?
2)dont know where to start

3. The attempt at a solution

2. Mar 2, 2014

Welcome to PF :)
Can you draw a diagram at first?

3. Mar 2, 2014

The ball cannot travel in a straight line. Ignoring air resistance it follows a parabolic path.

4. Mar 2, 2014

### physicshelpme

heres what i drew and my thoughts

5. Mar 2, 2014

### ehild

It is not shown.

ehild

6. Mar 2, 2014

picture

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7. Mar 2, 2014

### physicshelpme

so here what i think happened y=(vi x t)+1/2g x t^2
to find time
vi=0m/s y=2ft g=-9.8m/s so we can find t but we need to convert to meters

8. Mar 2, 2014

### physicshelpme

i also did vf^2=vi^2 +2ay

vi=0m/s a=-9.8m/s y=2ft->.61meters

so vf=3.5m/s

9. Mar 2, 2014

### ehild

The ball is hit with initial speed so great that its trajectory can be considered linear. You can ignore the g/2 t^2 term. As written in the problem text
So the ball travels along a straight line between the upper point of the net and the service line, 20 ft away. What is the angle of the trajectory with the horizontal?

ehild

10. Mar 2, 2014

### physicshelpme

how would i go about finding the trajectory with the horizontal?

11. Mar 2, 2014

### physicshelpme

i think i got it now v^2=vo^2 +2-g(y-yo) vf=0m/s vi=? y=0 yo=2ft g=9.8???

12. Mar 2, 2014

### ehild

ehild

13. Mar 2, 2014

### physicshelpme

i did, how do i find a tracetory angle?

14. Mar 2, 2014

### jackarms

The problem says it travels in essentially a straight line from the start until the net, so the path lies directly along the horizontal. What then is the angle between the path and the horizontal?

15. Mar 2, 2014

### physicshelpme

0? if its linear then it has to be 0?

16. Mar 2, 2014

### jackarms

Yes, that's right. This problem seems rather odd though -- it's implying that it travels in a straight line and then suddenly starts to fall. If the problem is exactly as you typed it though, then an angle of 0 is the implied answer.

17. Mar 2, 2014

### physicshelpme

thats exactly what he wrote i didn't change anything, b) so now we consider the height of the ball being struck

v^2=vo^2 +2-g(y-yo) y=0 landing of the ball in the y direction?

18. Mar 2, 2014

### jackarms

Okay, but then you don't have either the initial or final velocities, and since the trajectory of the ball is atypical, your typical equations won't work unless you look at the path in intervals. Just looking at the straight line path from the start to the net, you have the final y as 2 feet, and y doesn't change over that path, so what is the starting y (the height from which the ball is hit)?

19. Mar 2, 2014

### physicshelpme

yeah your right the equations are not going to work. but if we are only considering the object in the y direction. im unsure what to do next, this guy never teaches the math in class just talks about definitions something we can simply read at home.

why is the service lime 20ft, and baseline 30ft mentioned in the problem is that to trick us? or used as sin(0), cos (0)

20. Mar 2, 2014

### rikblok

I don't follow. Just because it travels in a straight line doesn't mean the path has to be horizontal... just straight, right?

21. Mar 2, 2014

### CWatters

This is the diagram I would draw. Only needs basic trig to work out the angle and H. You could also work out H using the law of similar triangles.

#### Attached Files:

• ###### Tennis.jpg
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22. Mar 2, 2014

### physicshelpme

yea that makes more sense c watters

23. Mar 2, 2014

### jackarms

Ah yes, my bad. I glossed over the word "service" and just thought the ball was being hit somehow. I think that diagram is the best way to interpret the problem. So I guess it ended up being more geometry than anything...

24. Mar 2, 2014

### physicshelpme

so for the tan-1(2/20) of the little triangle be the same as theta of the whole triangle?

25. Mar 2, 2014

### physicshelpme

the angle is (.1) very small