A missile is fired for maximum range at your town from a place 100, km away from you. If missile is

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3-2.Motion in Plane

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A missile is fired for maximum range at your town from a place $100\, km$ away from you. If the missile is first detected at its half way point, the maximum height of the missile is? (Take $g = 10\, m/s ^2$)

A$2.5\times10^4\, m$

B$5.0\times10^4\, m$

C$7.5\times10^4\, m$

D$10^5\, m$

Solution

$\mathrm{H}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{g}}=\frac{\mathrm{g} \mathrm{R}}{2 \mathrm{g}} \times \frac{1}{2}=\frac{10^{5}}{4}=2.5 \times 10^{4} \mathrm{m}$

Standard 11

Physics

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easy

A missile is fired for maximum range at your town from a place $100\, km$ away from you. If the missile is first detected at its half way point, the maximum height of the missile is? (Take $g = 10\, m/s ^2$)

Solution

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