Mechanics Projectile Motion Question

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A user struggling with A-Level Maths and Physics posed a question about projectile motion involving a tennis ball served horizontally from a height of 2.3m, which strikes the ground 28m away. They initially felt stuck due to insufficient information about velocity and time. Another user clarified that the ball's initial vertical velocity is zero and guided them to calculate the time it takes to hit the ground and the initial horizontal velocity. By applying these calculations, the original poster successfully determined the height of the ball when it passes the net 12m from the server. The discussion highlights the importance of understanding projectile motion principles in solving related problems.
Antagonist
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Hi,

I am new here and I am doing A-Level Maths and Physics. I am currently having trouble in A2 maths. I am doing M2 and am doing projectile motion.
This is the question I am having trouble with:

A tennis ball is served horizontally from a height of 2.3m and it strikes the ground at a point 28m away from the server. Find its height when it passes the net 12m from the server.

I have been trying to work it out but the 5 equations of motion do not seem to work as I do not have enough information. All they give me in this questions is distances. What is the velocity(initial and final), time and most importantly the answer to the question. I am not sure if the velocity and time is needed for the answer. This is probably very simple but its stumped me. If anyone could help it would be much appreciated.

Thanks,

--Antagonist
 
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Do you know the height of the net?
EDIT:
OK, sorry about that, you don't need it.
Now, the ball is launched horizontally, that is has zero vertical velocity to begin with.
Hence, you may find the time the ball strikes the ground.
Secondly, since you know it has traveled horizontally 28 meters, you may solve for initial velocity.
 
Last edited:
I followed your instructions and that led me to the answer. I figured out the time and initial velocity and then found out the time for it to travel 12m using the initial velocity I found out earlier. Then I found out the distance it fell using the time and acceleration due to gravity. Finally I subtracted the distance it fell from the beginning distance and that is the answer. :)

Thanks arildno for your help

--Antagonist
 
No prob.
Welcome to PF!
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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