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Motion in a Plane — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsMotion in a Plane2 Marks
Question
Find the angle of projection for a projectile motion whose range R is n times the maximum height H.
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Answer

Given R = nH
$\Rightarrow\ \frac{\text{u}^2\sin2\theta}{\text{g}}=\text{n}\times\frac{\text{u}^2\sin^2\theta}{2\text{g}}$
$\Rightarrow\ \theta=\tan^{-1}\Big(\frac{4}{\text{n}}\Big)$

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