Question

Trajectories are shown in figure for three kicked footballs. Initial vertical & horizontal velocity components are $u_y$ and $u_x$ respectively. Ignoring air resistance, choose the correct statements from Column- II for the value of variable in Column-I

Column-I Column-II

Answer 1

Time of flight increases as the maximum height increases. For A and B time of flight is same.
The ratio $\frac{u_y}{u_x}$ increases as the range decreases.
Time of flight of C is lowest but the range is same as that of B, thus in less time C covers the same horizontal displacement as that of B, so its horizontal velocity is maximum.
$T=\frac{2u_y}{g}andR=u_{x}T=\frac{2u_y{u}_x}{g}$
so projectile with maximum range has max value of $u_y{u}_x$