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CBSE Class 11-science Answered

A shell burst on contact with the ground. The fragment fly in all directions with speed up to 30 m/ s . A man standing at a distance of 45 m is in danger for ________ seconds . 
Assume g = 10 ms
Asked by nilesh | 24 Jul, 2015, 11:10: PM
answered-by-expert Expert Answer
Given that: u = 30 ms-1 and R = 45 m
begin mathsize 12px style Horizontal space range comma space straight R space equals space fraction numerator straight u squared sin 2 straight theta over denominator straight g end fraction rightwards arrow 45 equals space fraction numerator left parenthesis 30 right parenthesis squared sin 2 straight theta over denominator 10 end fraction Or space sin 2 straight theta space equals space fraction numerator left parenthesis 30 right parenthesis squared cross times space 45 over denominator 10 end fraction Or space sin 2 straight theta space equals 1 half Or comma space 2 straight theta space equals space 30 degree space or space 150 degree Or comma space straight theta space equals space 15 degree space or space 75 degree This space gives space two space times space of space flight comma space say space straight t subscript 1 space and space straight t subscript 2 rightwards arrow straight t subscript 1 space equals space fraction numerator 2 usin 15 degree over denominator straight g space end fraction space and space straight t subscript 2 space equals space fraction numerator 2 usin 75 degree over denominator straight g space end fraction The space difference space between space the space two space times space of space flight space will space the space time space for space which space the space man space will space be space in space danger. That space is comma space the space man space will space be space in space danger space for space left parenthesis straight t subscript 2 minus straight t subscript 1 right parenthesis rightwards arrow space left parenthesis straight t subscript 2 minus straight t subscript 1 right parenthesis equals space space fraction numerator 2 usin 75 degree over denominator straight g space end fraction space minus space fraction numerator 2 usin 15 degree over denominator straight g space end fraction space space space space space space space space space space space space space space space space space equals space fraction numerator 2 straight u over denominator straight g end fraction left parenthesis sin 75 degree space minus space sin 15 degree right parenthesis space space space space space space space space space space space space space space space space space equals fraction numerator 4 straight u over denominator straight g end fraction left parenthesis sin 30 degree space cos space 45 degree right parenthesis space space space space space space space space space space space space space space space space space space equals fraction numerator 4 space cross times space 30 over denominator 10 end fraction space cross times space 1 half space cross times space fraction numerator 1 over denominator square root of 2 end fraction space space space space space space space space space space space space space space space space space equals 3 square root of 2 end style
Answered by Yashvanti Jain | 15 Dec, 2017, 07:29: PM
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