Assertion`:-` The trajectory of projectile in `XY` plane is quadratic in `x` and linear in `y` if x is independent of `X-`coordinate.
Reason `:-` `y-`coordinate of trajetory is independent of `x-`coordinate.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false

Answer

D

Explanation

Trajectory of a projectile is given by-
`y = x tan theta - (gx^(2))/(2v^(2) cos^(2) theta)`
It is clear from above expression trajectory of projectile is quadratic in x and linear in y, and y component is dependent on x-component.