physics

a projectile has the same range'R'when maximum height attained by it is either H'or H.prove that R=âˆšH'.âˆšH

1 Answers

106

Asish Mahapatra ·2009-09-09 02:23:09

Assumption: the speed of projection is same

The range is same if the angles of projection are
@ and 90-@

So,
H = v²sin²@/2g
H' = v²sin²(90-@)/2g

R = v²sin2@/g

√H.H' = √v⁴sin²@cos²@/4g² = v²sin@cos@/2g
= v²sin2@/4g = R/4

So R=4√H.H'

ur ques is wrong

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