What is the radius of curvature of the parabola traced out by the projectile in the previous problem projected with speed v at an angle of theta with the horizontal at a point where the particle velocity makes an angle `theta/2` with the horizontal?

Explanation

To find the radius of curvature of the parabola traced out by a projectile projected with speed \( v \) at an angle \( \theta \) with the horizontal, at the point where the particle's velocity makes an angle \( \frac{\theta}{2} \) with the horizontal, we can follow these steps:

### Step 1: Understand the components of velocity
The initial velocity \( v \) can be broken down into its horizontal and vertical components:
- \( V_x = v \cos \theta \)
- \( V_y = v \sin \theta \)

### Step 2: Determine the velocity at the specified angle
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