A projectile is given an initial velocity of $\hat i+2 \hat j$. The cartesian equation of its path is $(g=10 m/s^2)$. ($\hat i$ vector along horizontal $\hat j$ vector along vertically upward)

Question

$$(a)\;y=2x-5x^2 \quad (b)\;y=x-5x^2 \quad (c)\;4y=2x-5x^2\quad (d)\;y=2x-25 x^2$$