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Grade 12th passMechanics

if R and Hare the horizontal range and maximum hieght attained by a projectile, then its speed for projection is?

Profile image of shrilekha sharma
11 Years agoGrade 12th pass
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2 Answers

Profile image of Sumit Majumdar
ApprovedApproved Tutor Answer11 Years ago
Dear student,
The Range and vertical height would be given by the relation:
R=\frac{u^2\sin2\theta}{g}
H=\frac{u^2\sin^2\theta}{2g}
Hence,
\frac{R}{H}=\frac{u^2\sin2\theta}{g}\frac{2g}{u^2\sin^2\theta}=4\tan\theta
Using this, we can find the speed of projection.
Regards
Profile image of shrilekha sharma
11 Years ago
sir but the answer given in the key is under root 2gH +R2g/8H sir please explain in detail?