When does (i) height attained by a projectile maximum? (ii) horizontal range is maximum?

Explanation

To solve the question regarding the conditions for maximum height and maximum horizontal range attained by a projectile, we can break it down into two parts:

### Part (i): When does the height attained by a projectile reach its maximum?

1. **Identify the formula for maximum height (Hmax)**:
The formula for the maximum height attained by a projectile is given by:
\[
H_{\text{max}} = \frac{u^2 \sin^2 \theta}{2g}
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