The equation of trajectory of a projectile is $y= 10 x - \bigg(\large\frac{5}{9} \bigg)x^2$. If we assume $g=10\;ms^{-2},$ the range of projectile (in meter) is :

Question

$$\begin {array} {1 1} (a)\;36 & \quad (b)\;24 \\ (c)\;18 & \quad (d)\;9 \end {array}$$