# 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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