What is the ratio of maximum range and height for a projectile for an angle at which range maximum?
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When the angle of projectile is 45°.
R=u^2sin2¤/g
put ¤=45°
R=u^2sin2(45)/g
R=u^2sin90/g
Rmax.=u^2/g. ..eq1 [sin90=1]
H=u^2sin^2¤/2g
Hmax. =u^2/4g. .eq2 [ sin45=1/√2]
from equ. 1and2
Hmax. =Rmax/4
Rmax=4Hmax
Rmax/Hmax=4
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