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Offline Centres

Statement-1: For an oblique projectile launched from the ground at an angle $θ$ with the horizontal, $R = H a t θ = \tan^{- 1} (4)$
Statement-2 : Maximum range of projectile is proportional to square of initial velocity and inversely proportional to g.

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Both statement are TRUE and Statement 2 is the correct explanation of statement 1

Both statement are TRUE but statement 2 is not the correct explanation of statement 1.

If statement 1is TRUE and statement 2 is FALSE.

If statement 1 is FALSE but statement 2 is TRUE.

answer is B.

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Detailed Solution

R = H

$\Rightarrow \frac{2 u^{2} \sin θ \cos θ}{g} = \frac{u^{2} \sin^{2} θ}{2 g} \Rightarrow \tan θ = 4 R_{\max} |_{θ = 45 °} = \frac{u^{2}}{g}$

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