Motion Under Gravity: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Motion Under Gravity. Understanding the underlying formula is key to arriving at the correct answer below:

Concept: Equations of motion under gravity.
Formula: \(v^2 = u^2 + 2gh\).
Solution: Given \(u = 20\text{ m/s}\,\text{ }v = 80\text{ m/s}\,\text{ }g = 10\text{ m/s}^2\). Substituting these values: \(80^2 = 20^2 + 2(10)h\). \(6400 = 400 + 20h\). \(6000 = 20h\) => \(h = 300\text{ m}\).