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A projectile is projected with a kinetic...

A projectile is projected with a kinetic energy `K`. If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be

A

0.25k

B

0.5k

C

0.75k

D

0.0k

Text Solution

Verified by Experts

when is range is maximum`theta =45^(@)`
Now `u_(z) =u cos 45^(@)=u//sqrt2`
At the hight the net velocity of projectile is `u_(z)`
`:."KE"=(1//2)m(usqrt2)^(2) = (1//2)(1//2 "mu"^(2)) = (1//2)`
K`=0.5`K
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