# Rolling a ball off a roof (ramp)

1. The problem statement, all variables and given/known data
In this problem, I’m rolling a ball off a ramp. The ramp is supposed to simulate a roof. The hypotenuse of the ramp is 1.5 meters and the angle is 45 degrees. The distance from the edge of the ramp to the ground is -5.43 meters. That is the information I’m given. From there, I’m supposed to find the following:
G = -10
V = ?
Ramp Angle = 45°
Y = ?
Vyi = ?
Vxi = ?
Fall Time = ?
D = ?
Ramp Height = ?

2. Relevant equations
SOH, CAH, TOA
V = √2GY
D = Vit + 1/2gt^2
T = √(2d/a)

3. The attempt at a solution
To find ramp height:
1.5sin(45) = 1 meter.
To find V:
√2*-5.43*-9.8 = 10.3m/s
After that, I wasn’t sure what to do.
My thought was that maybe to solve for Vxi and Vyi, I would use SOH, CAH, TOA?
Therefore:
10.3cos(45) = 7.2
10.3sin(45) = 7.2
??
I am really unsure about how to approach this problem, any help would be appreciated. Thanks
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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