Answer:
Vf = 69.61 m/s
Explanation:
We will use the third equation of motion to solve this problem:
[tex]2gh = V_{f}^2 - V_{i}^2\\[/tex]
where,
g = acceleration due to gravity = 9.81 m/s²
h = height of cliff = 247 m
Vf = final velocity = ?
Vi = initial velocity = 0 m/s (boulder breaks loose from rest)
Therefore,
[tex](2)(9.81\ m/s^2)(247\ m) = V_{f}^2 - (0\ m/s)^2\\V_{f} = \sqrt{4846.14\ m^2/s^2}\\[/tex]
Vf = 69.61 m/s
