A freely falling object hit the ground in 18π! seconds. It fell β feet. Use the formula β = 16π‘! to find β in terms of π.
To find the height β in terms of π, we can substitute the value of time π‘ in the given equation β = 16π‘Β² with the value of time π‘ = 18π, since the object hits the ground in 18π seconds.
Let's substitute the value of π‘ in terms of π into the equation:
β = 16(18π)Β²
Now, let's simplify the equation to find the final expression for π in terms of β:
β = 16(324πΒ²)
β = 5184πΒ²
Therefore, the height β of the freely falling object, in terms of π, can be written as β = 5184πΒ².