Motion In A Plane Ques 29
29. A missile is fired for maximum range with an initial velocity of $20 $ $m / s$. If $g=10 $ $m / s^{2}$, the range of the missile is
[2011]
(a) $40 $ $m$
(b) $50 $ $m$
(c) $60 $ $m$
(d) $20 $ $m$
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Answer:
Correct Answer: 29.(a)
Solution:
- (a) For maximum range, the angle of projection, $\theta=45^{\circ}$.
$\therefore R=\frac{u^{2} \sin 2 \theta}{g}$
$ =\frac{(20)^{2} \sin (2 \times 45^{\circ})}{10}=\frac{400 \times 1}{10}=40 . $