Maximizing Volleyball Projectile Motion: Calculating Speed and Height

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Homework Help Overview

The discussion revolves around a physics problem involving projectile motion, specifically related to a volleyball being hit over a net. The scenario includes parameters such as the height of the net, the initial height of the ball, and the angle of projection, with the goal of determining the initial speed required for the ball to land on the opponent's back line and the maximum height it reaches.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations of motion relevant to the problem, including horizontal and vertical components of motion. There is a focus on how to account for the initial height of the ball and the height needed to clear the net. Questions arise about the time of flight and how to relate horizontal and vertical motions.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have provided insights into the equations of motion and the need to equate the time taken for horizontal and vertical travel. However, there is no consensus yet on how to proceed with the calculations, particularly regarding the initial height difference.

Contextual Notes

Participants are working under the assumption of no air resistance and are grappling with the implications of the initial height of the ball in relation to the net height. There is an emphasis on showing work to facilitate assistance.

jap90
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A regulation volleyball court is L = 18.0 m long and a regulation volleyball net is d = 2.43 m high. A volleyball player strikes the ball a height h = 1.52 m directly above the back line, and the ball's initial velocity makes an angle q = 55° with respect to the ground. At what initial speed must the ball be hit so that it lands directly on the opponent's back line? and What is the maximum height reached by the ball in this case?

I'm really stumped, if anyone can give me some help it would be greatly appreciated. thanks
 
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What can you tell us about the equations of motion that apply to this problem? Assuming no air resistance, what are the vertical and horizontal components of motion? You need to show us your work in order for us to help you.
 
well, I know that the height the ball has to travel in order to clear the top of the net is .91 m. I'm not sure if this even matters in this problem.
the Vxo=cos55 v
Vyo=sin55 v
the total distance the ball has to travel is 18m. Where my problem lies is with the initial height difference of 1.52 m. I don't know how to compensate for that. I've tried solving for t, but i don't know how to go about since the ball drops below its starting point. I've spent hours on this problem and still no luck. Anything you could tell me to get me started on the right path?
thanks
 
Are you familiar with these equations of motion?

d = d_0 + v_0 t + \frac{a t^2}{2}

v = v_0 + a t

One way to solve the problem is to figure out how long it takes the v-ball to travel the court distance horizontally, and how long it takes it to travel vertcially up and then back down to hit the ground. Those two times have to be equal in this problem. Use the sin and cos components for the initial velocity.
 

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