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Answer :
Final answer:
The maximum horizontal range of a projectile launched at 45° can be calculated using the formula "R = (v² sin 90°) / g". This formula assumes no air resistance and a flat Earth for theoretical maximum range calculation.
Explanation:
The maximum horizontal range of a projectile refers to the furthest distance along the horizontal plane that the projectile will travel after being launched. For a 120mm vehicle-mounted gun, when the projectile is fired at an angle of 45°, which is also known as the optimal angle of projection for maximum range without considering air resistance, the formula to calculate the maximum range "R" is given by:
R = (v² sin 90°) / g
where "v" is the initial velocity, "g" is the acceleration due to gravity (approximately 9.8 m/s²), and "sin 90°" evaluates to 1 since the sine of 90 degrees is maximized.
To find the maximum range for a specified velocity, you would plug in the values into this formula. Remember that this formula is approximate and does not account for factors such as air resistance and the earth's curvature at extreme distances.
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