If a baseball player can throw a ball at maximum distance = d over a ground, the maximum vertical height to which he can throw it, will be- (Ball have same initial speed in each case)

Options

A. `d//2`
B. d
C. 2d
D. d/4

Explanation

To solve the problem, we need to find the maximum vertical height (H_max) to which a baseball player can throw a ball, given that he can throw it at a maximum distance (D) over the ground with the same initial speed (U) in both cases.

### Step-by-Step Solution:

1. **Understanding the Range Formula:**
The range (D) of a projectile is given by the formula:
\[
R = \frac{U^2 \sin(2\theta)}{g}
...