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A projectile is fired with some velocity...

A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile (KE) versus its horizontal displacement(x)?

A

B

C

D

Text Solution

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Velocity of a projectile at any instant of time `(t)` is
`v^(2)=v_(x)^(2)+v_(y)^(2)=(u costheta)^(2)+(u sintheta-g"(x)/(ucostheta))^(2)`
`:. K.E=(1)/(2)m u^(2)-mgx tantheta+(gx^(2))/(u^(2)cos^(2)theta)`
The given equation represents equation of a parabola
Note : Answer can't be `(B)` as `K.E.` of a projectile never becomes zero.
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