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A cannon ball has a range R on a horizontal plane. If h and h* are heights in two paths for which this is possible then R=?

Anjali , 7 Years ago
Grade 11
anser 1 Answers
Vikas TU

Last Activity: 7 Years ago

Dear Student,
For the same range R of a projectile the angle of projection can be  and 90-
Height of a projectile when angle of projection is = h= u2sin2/2g (u=initial velocity)
Height of projectile when angle of projection is 90- = h*=u2sin2(90-)/2g = u2cos2/2g
usual formula of range = u2sin2/g
hxh* = u4sin22/16g2
=>√(hXh^* ) = u2sin2/4g
=>4√(hXh^* ) = u2sin2/g
=>R=4√(hXh^* ).
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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