The equation of motion of a projectile in the XY plane is . Find the range of the projectile.
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If you took the time of comparing this equation with y = x tan θ − 2 u 2 cos 2 θ g x 2 or y = x tan θ ( 1 − R x ) any other slower method, here's the solution.
At the end point, i.e., the point where the projectile meets the x-axis for the second time, the range is covered and the y-coordinate is zero. Hence substituting y = 0 , we get x = 9 .