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Q.

A body has a kinetic energy E when projected at an angle of projection for maximum range. Its kinetic energy at its highest point of its path will be

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a

E

b

E2

c

E2

d

zero

answer is B.

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Detailed Solution

Maximum range is obtained at 45oKinetic energy =E=12mu2,----(1) here m is mass of body, u is velocity of the bodyAt highest point of projectile motion velocity   v=u cos θ, v=u cos 45o=u2  At the highest point KE =KE'=12mv2=12mu22KE'=12mu22=E2, obtained on substituting equation (1)
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A body has a kinetic energy E when projected at an angle of projection for maximum range. Its kinetic energy at its highest point of its path will be