A missile is fired for maximum range at your town from a place 10… - Vidyadip

MCQ

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, how much warning time will you have ? (Take $g = 10\, m/s^2$) what was the speed of missile when it was detected ?

A
$100\, m/s$
B
$500\, m/s$
✓
$500\sqrt 2 \,s$
D
$100\sqrt 2 \,s$

✓

Answer

Correct option: C.

$500\sqrt 2 \,s$

c
$u \cos \theta=\sqrt{g R} \times \frac{1}{\sqrt{2}}$

$=\sqrt{10 \times 10^{5}} \times \frac{1}{\sqrt{2}}=\frac{1000}{\sqrt{2}}$

$=\frac{500 \times 2}{\sqrt{2}}=500 \sqrt{2} \mathrm{m} / \mathrm{s}$

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