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

Motion in A Plane question

2011 · Q147

Motion in A Plane question

2011 · Q147

View written solutionFree

Correct answer: A

For maximum range, the angle of projection, $\theta$ = 45°.

$\therefore R = {{{u^2}\sin 2\theta } \over g}$

$= {{{{\left( {20} \right)}^2}\sin \left( {2 \times {{45}^\circ }} \right)} \over {10}}$

$= {{400 \times 1} \over {10}} = 40\,m$

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Motion in A Plane question

2011 · Q147

Motion in A Plane question

2011 · Q147

View written solutionFree

Correct answer: A

For maximum range, the angle of projection, $\theta$ = 45°.

$\therefore R = {{{u^2}\sin 2\theta } \over g}$

$= {{{{\left( {20} \right)}^2}\sin \left( {2 \times {{45}^\circ }} \right)} \over {10}}$

$= {{400 \times 1} \over {10}} = 40\,m$