The general solution of the differential equation $\left(y^2+x+1\right) d y=(y+1) d x$ is

E, M, L, G represent energy, mass, angular momentum and gravitational constant, respectively. The dimensions of $\frac{E L^2}{M^5 G^2}$ will be that of

A body starting from rest moving with an acceleration of $\frac{5}{4} \mathrm{~ms}^{-2}$. The distance travelled by the body in the third second is

A projectile can have the same range $R$ for two angles of projection. Their initial velocities are same. If $T_1$ and $T_2$ are times of flight in two cases, then the product of two times of flight is directly proportional to