The maximum range of a bullet fired from a toy pistol mounted on a car at rest is `R_(0)=40m`. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity `V=20m//s`, on a horizontal surface? `(g=10m//s^(2))`

Options

A. `30^(@)`
B. `60^(@)`
C. `75^(@)`
D. `45^(@)`

Explanation

To solve the problem, we need to determine the acute angle of inclination of the pistol for maximum range when the car is moving with a uniform velocity. Let's break this down step by step.

### Step 1: Understand the Problem
We know that the maximum range of a bullet fired from a toy pistol mounted on a car at rest is \( R_0 = 40 \, m \). The car is now moving with a velocity \( V = 20 \, m/s \). We need to find the angle of inclination \( \theta \) for maximum range when the car is in motion.

### Step 2: Calculate the Initial Velocity of the Bullet
The formula for the maximum range \( R \) of a projectile launched at an angle \( \theta \) with an initial velocity \( U \) is given by:
\[
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