Answer to Question #124864 in Physics for Susan Williams

Question #124864

To achieve maximum range for a given initial velocity what will be the angle of projection?

Expert's answer

The expression for the range of a body launched with initial velocity $v$ directed $\theta$ degrees above the horizontal is

R=\frac{v^2\text{ sin}(2\theta)}{g}.

We can see that the range is at maximum when $\theta=45°$ .

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