The slope of the variation in height of a bouncing ball...?

Question

The height a ball bounces varies as the height from which it was dropped.

A ball that is dropped from 2.0 M bounces 1.5 m. What is the slope for graphing this variation?

And what would the slope be like if the variation was inconsistent?

2.0 M = 1.5 = .5 = .1 for example

The height a ball bounces varies directly as the height from which it is dropped. IF a a ball is dropped from a height of 2 m, it bounces 1.5 m. What is the slope of the graph that models this direct variation?

3/4?

Answer 1

I think you need to rewrite your question. You aren't explaining what you want to find in enough detail.

Answer 2

Your function has as input the dropping height (h) and as output the bouncing height (b).

If you know that b is directly proportional with h, the graph is a straight line, and the function has the form

b = a . h

where a is the slope. In your case,

1.5 = a . 2.0

so that a = 1.5 / 2.0 = 3/4 = 0.75

If the bouncing height is not directly proportional to h, the graph would not be a straight line and the slope would vary. However, on physical grounds you would expect the graph to be monotonously increasing, so the slope would remain positive throughout.

Answer 3

examine what's prevalent as a results of fact the "coefficient of restitution" or COR for short." ! i could use this as a results of fact the "quantitative" area of your test (the area the place you have actual numbers) It relates the preliminary top of the object to the main suitable top the object bounces lower back as much as. in this form you are able to calculate the version in ability capability (the quantity of capability the ball has once you carry it at a definite top) and the capability capability the ball has after the leap. All you're able to desire to do is degree the transformations in top and which could inform you style of ways plenty capability replaced into absorbed via distinctive surfaces you would be using. in case you look up COR you will discover some formulation. I actual have achieved this test in the previous, and that i got here upon it ultimate to apply a labpro sonar gadget to plan the leap heights on a working laptop or pc. Your physics professor at college will in all probability have this tool. The graphs look great too.