Two particles are projected from the same point with the same speed u such that they have the same range Rbut different maximum heights, h_1 and h_2 Which of the following is correct?

Question

Accepted Answer

Correct answer: B. (b) For same range, the angle of projections are : and 90^ - So. h_1= u^2 sin^2 ⁡ 2g and h_2= u^2 sin^2 ⁡(90^ - )2g= u^2 cos^2 ⁡ 2gAlso, R= u^2 sin ⁡2 g h_1h_2= u^2 sin^2 ⁡ 2g u^2 cos^2 ⁡ 2g = u^216 u^2 (2 sin ⁡ cos ⁡ )^216 = R^216or R^2=16h_1h_2

$Two particles are projected from the same point with the same speed u such that they have the same range R but different maximum heights, h_{1} and h_{2} Which of the following is correct?$

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