A missile is fired for maximum range with a initial velocity of 20 ~m / s . If g=10 ~m / s^2 , the range of the missile is

Correct answer: D. 40 ~m For maximum range of projectile θ will be 45^ ^ ^ by the law of projectile motion R_ =(u^2)/(g) Given, u=20 ~ms^ -1 and g=10 ~ms^ -2 aligned & R_ =((20)^2)/(10)=(400)/(10) & R_ =40 ~m aligned

JEE Main

Exam: JEE Main
Subject: Physics
Chapter: Motion in Two Dimensions

JEE Main · Physics · Motion in Two Dimensions

A missile is fired for maximum range with a initial velocity of 20...

A missile is fired for maximum range with a initial velocity of

20 \mathrm{~m} / \mathrm{s}

. If

g=10 \mathrm{~m} / \mathrm{s}^2

, the range of the missile is

Options

A $50 \mathrm{~m}$
B $60 \mathrm{~m}$
C $20 \mathrm{~m}$
D $40 \mathrm{~m}$

Correct answer

D. $40 \mathrm{~m}$

Step-by-step solution

For maximum range of projectile

\theta

will be

45^{{}^{{}^{\circ}}}

by the law of projectile motion

\therefore \quad R_{\max }=\frac{u^2}{g}

Given,

\quad u=20 \mathrm{~ms}^{-1}

and

g=10 \mathrm{~ms}^{-2}

\begin{aligned} & R_{\max }=\frac{(20)^2}{10}=\frac{400}{10} \\ & R_{\max }=40 \mathrm{~m} \end{aligned}

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