InterviewSolution
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InterviewSolution
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Two bodies are thrown with the same initial speed at angles `alpha and (90^(@) -alpha)` with the horizontal. What will be the ratio of (a) maximum heights attained by them and (b) horizontal ranges ? |
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Answer» Horizontal range `R=(u^(2))/(g)sin2 theta` and maximum height `H=(u^(2)sin^(2)theta)/(2g)` Case (i) when `theta=alpha, R_(1)=(u^(2))/(g)sin2alpha` and `H_(1)=(u^(2)sin^(2)alpha)/(2g)` Case(ii) when `theta=(90^(@)-alpha), R_(2)=(u^(2)sin2(90^(@)-alpha))/(g)=(u^(2)sin(180^(@)-2alpha))/(g)=(u^(2)sin 2alpha)/(g)` and `H_(2)=(u^(2)sin^(2)(90^(@)-alpha))/(g)=(u^(2)cos^(2)alpha)/(g) (H_(1))/(H_(2))=(sin^(2)alpha)/(cos^(2)alpha)-tan^(2)alpha` and `(R_(1))/(R_(2))=1` |
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