explain me question number 29 of page 88

Asked by anjummulla1861 | 7th Oct, 2015, 12:11: PM

Expert Answer:

begin mathsize 14px style Given colon Range comma space straight R equals 3 space km Angle space of space projection comma space straight theta equals 30 degree Acceleration space due space to space gravity comma space straight g equals 9.8 space straight m divided by straight s squared Horizontal space range space for space the space projection space velocity space straight u subscript 0 comma space is space given space by space the space relation colon straight R equals fraction numerator straight u subscript 0 superscript 2 sin 2 straight theta over denominator straight g end fraction 3 equals fraction numerator straight u subscript 0 superscript 2 over denominator straight g end fraction sin 60 degree square root of 3 cross times square root of 3 equals fraction numerator straight u subscript 0 superscript 2 over denominator straight g end fraction cross times fraction numerator square root of 3 over denominator 2 end fraction space space space space left square bracket because 3 equals square root of 3 cross times square root of 3 right square bracket fraction numerator straight u subscript 0 superscript 2 over denominator straight g end fraction equals 2 square root of 3 space space space space space space... space left parenthesis 1 right parenthesis The space maximum space range space left parenthesis straight R subscript max right parenthesis space is space achieved space by space bullet space when space it space is space fired space at space an space angle space of space 45 degree space with space the space horizontal comma space that space is comma straight R subscript max equals fraction numerator straight u subscript 0 superscript 2 over denominator straight g end fraction space space space space space space space... space left parenthesis 2 right parenthesis On space comparing space equations space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis comma space we space get comma straight R subscript max equals 2 square root of 3 equals 2 cross times 1.732 equals 3.46 space km Hence comma space there space is space no space way space one space can space hope space to space hit space the space target space 5 space km space away. end style

Answered by Faiza Lambe | 7th Oct, 2015, 02:38: PM