(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem is to find at what distance the ball has to be placed at on a ramp given a certain angle measurement of said ramp. The cup's position will be given a few minutes prior to testing so there are more unknown variables.

Table Height: .73M

Cup Height: 10cm

Angle measurement is 40 degrees

Ball Mass: 3.6 grams

.3: rotational, so we are supposed to only use 70% of the energy calculated

We are required to derive an equation to use at the spot to figure out how far up the ball needs to be (given the cup distance)

2. Relevant equations

X=(1/2) A*T^2+ViT+Xi

V= sq root (2gh)

D=RT

V=AT+Vi

A=V/T1

F=MA

3. The attempt at a solution

Ive used the X=... equation and entered the square root equation into it, but i still cannot figure out how to derive it. Ive figured out the sin/cos which is .6428 and .7660 (I would just multiply then to get distance).

Any hints would be greatly appreciated. If i've left anything out or forgot to mention some key element, please state that.

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# Homework Help: Ball into cup off ramp, need to derive equation

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