Energy In Simple Harmonic Motion

Step 1: Given Data
- Initial speed of the ball: - Projection angle: - Final speed at impact: - Acceleration due to gravity: - Height from which the ball is projected:

Step 2: Using the Energy Conservation Principle
The total mechanical energy at the initial and final points must be equal: Canceling on both sides: Substituting the given values:

Step 3: Solving for

Step 4: Conclusion
Thus, the height from which the ball is projected is: