A projectile is fired horizontally from an inclined plane (of inclination `45^(@)` with horizontal) with speed=50m/s. If `g=10m//s^(2)`, the range measured along the incline is

Options

A. 500m
B. `500sqrt(2)m`
C. `200 sqrt(2)m`
D. none of these

Explanation

To solve the problem of finding the range of a projectile fired horizontally from an inclined plane at an angle of 45 degrees, we can follow these steps:

### Step 1: Understand the problem
The projectile is fired horizontally with an initial speed \( u = 50 \, \text{m/s} \) from an inclined plane that makes an angle \( \beta = 45^\circ \) with the horizontal. The acceleration due to gravity is \( g = 10 \, \text{m/s}^2 \).

### Step 2: Identify the relevant formula
The range \( R \) of a projectile launched from an inclined plane can be calculated using the formula:
\[
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