If you want to kick a football to the maximum distance the angle at which it should be kicked is (assuming no resistance )

Options

A. `45^(@)`
B. `90^(@)`
C. `30^(@)`
D. `60^(@)`

Answer

To determine the angle at which a football should be kicked to achieve the maximum distance, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: We need to find the angle of projection (θ) that maximizes the horizontal distance (range) traveled by a projectile, in this case, a football.

2. **Formula for Range**: The formula for the range (R) of a projectile launched with an initial velocity (U) at an angle (θ) is given by:
\[ R = \frac{U^2 \sin 2\theta}{g} \]
where \( g \) is the acceleration due to gravity.

3. **Maximizing the Range**: To maximize the range, we need to maximize the term \( \sin 2\theta \). The sine function reaches its maximum value of 1.

4. **Finding the Angle**: The sine function equals 1 at:
\[ 2\theta = 90^\circ \]
Therefore, we can solve for θ:
\[ \theta = \frac{90^\circ}{2} = 45^\circ \]

5. **Conclusion**: The angle at which the football should be kicked to achieve the maximum distance is \( 45^\circ \).

### Final Answer:
The angle at which the football should be kicked for maximum distance is **45 degrees**.

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