If R be the range of a projectile on horizontal plane and `H_1, H_2` be the maximum heights for its two possible trajectories, find the relation between the given parameters.

Explanation

To find the relationship between the range \( R \) of a projectile and the maximum heights \( H_1 \) and \( H_2 \) for its two possible trajectories, we can follow these steps:

### Step 1: Understanding the Range of the Projectile
The range \( R \) of a projectile launched at an angle \( \theta \) with an initial velocity \( u \) is given by the formula:
\[ R = \frac{u^2 \sin(2\theta)}{g} \]
where \( g \) is the acceleration due to gravity.
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