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

zero

b

E

c

E2

d

E2

answer is B.

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Detailed Solution

Maximum range is obtained at 45o
Kinetic energy =E=12mu2,----(1) here m is mass of body, u is velocity of the body
At 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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