A missile is fired for maximum range with a initial velocity of $20 \mathrm{~m} / \mathrm{s}$. If $g=10…
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
$50 \mathrm{~m}$
$60 \mathrm{~m}$
$20 \mathrm{~m}$
$40 \mathrm{~m}$
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 $g=10 \mathrm{~ms}^{-2}$
$\begin{aligned}
& R_{\max }=\frac{(20)^2}{10}=\frac{400}{10} \\
& R_{\max }=40 \mathrm{~m}
\end{aligned}$