A projectil has the same range (R ) when the maximum heitht attained by it is either ` H_1` or H_1 `. Find the relation between ` R, H_1` and ` H_2`.

Explanation

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

### Step 1: Understand the problem
We know that a projectile can be launched at two different angles that give the same range but can reach different maximum heights. Let’s denote the angles as \( \theta \) and \( 90^\circ - \theta \).

### Step 2: Write the formula for range
The range \( R \) of a projectile launched with initial velocity \( u \) at an angle \( \theta \) is given by:
\[
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