Recent content by Jeven

Why is the coefficient of restitution of a ball independent of the height it is dropped from? A mathematical explanation would be best. Thank you.

Yes it is thank you. But I don't quite understand the (1/b) part, why would that be the energy? And what would I do to make this function a linear function? Because I need to graph a straight line.

I am sorry I forgot to add that the time is the time taken for it to bounce 5 times.

I graphed different heights from which I had dropped a bouncing rubber ball on the y-axis and the time taken for it to bounce on the x-axis. The function came out to be quadratic, but I do not know why. If someone can show mathematically why this is, that'd be splendid. Thank you.

Yeah but my ball is not elastic, it jumps to around 0.5 of its initial height. What do I do to this quadratic curve to get a straight line whose gradient is average velocity?

My question is what is the average velocity of a ball after 5 bounces?

Then what happened to the time squared? I want to find the velocity of a bouncing ball as it bounces 5 times. What do I do?

But then I have an equation t^2=2s/a ... so where is the velocity?

Ok so basically, if I graph time squared and displacement, I WILL get the velocity from the gradient is what you are saying?

Can you explain why squaring the time would result in a graph where the gradient is the velocity? Also, would displacement be displacement^2 or stay displacement?

So what can I do to my graph to make it a linear function?

Homework Statement Does anyone know how to plot a displacement-time graph that will give the average velocity of a bouncing ball? The ball bounces 5 times and I would like to know it's average velocity. What equations would I use? Homework Equations 0.5mv^2=mgh? The Attempt at a Solution I...