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A projectile is fired at an angle of 30°...

A projectile is fired at an angle of 30° to the horizontal with the speed v. If another projectile is projected with the same speed, then at what angle with the horizontal it must be projected so as to have the same range ?

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To solve the problem, we need to find the angle at which a second projectile must be fired so that it has the same range as the first projectile, which is fired at an angle of 30° with the same initial speed \( v \). ### Step-by-Step Solution: 1. **Understanding the Range Formula**: The range \( R \) of a projectile launched at an angle \( \theta \) with an initial speed \( v \) is given by the formula: \[ R = \frac{v^2 \sin(2\theta)}{g} ...
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