# Super Missile

A missile is fired from earth's surface with velocity $$v$$ at an angle of $$\theta$$ from vertical from the surface of earth. Find the maximum height reached by the missile from the surface of earth.

If your answer is $$a\times R_e$$ input $$a$$ as answer upto 2 decimal places

Details and Assumptions

1. Neglect air resistance and other factors which make problem extra complicated

2. Take $$\theta =60^{\circ}$$

3. Take $$\displaystyle v= \sqrt{\dfrac{0.75GM_e}{R_e}}$$, where $$G$$ is universal gravitational constant , $$M_e$$ is mass of earth and $$R_e$$ is radius of earth

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