1. Tardigrade
  2. Question
  3. Physics
  4. A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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

AIPMTAIPMT 2011Motion in a Plane

Solution:

Here, $u=20 \,m / s , g=10 \,m / s ^{2}$
For maximum range, angle of projection is $\theta=45^{\circ}$
$\therefore R_{\max } =\frac{u^{2} \sin 90^{\circ}}{g}=\frac{u^{2}}{g} $
$\left(\because R=\frac{u^{2} \sin 2 \theta}{g}\right) $
$=\frac{(20 m / s )^{2}}{\left(10 m / s ^{2}\right)}=40 \,m$