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A body is projected into air at an angle...

A body is projected into air at an angle `theta` with the horizontal.
a)What is the trajectory followed by this projectile?
(i) Ellipse,(ii)Parabola,(iii)Straight line,(iv)Circle.
b)Give a mathematical proof for your answer.
c)Trajectory of a body in a projectile motion is given by `y=x-(x^2/80)`.
`x` and `y` are in meters.Find maximum height of this projectile.

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