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:

  1. (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 . $