# Super Missile

**Classical Mechanics**Level 5

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**

Neglect air resistance and other factors which make problem extra complicated

Take \(\theta =60^{\circ} \)

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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