Question

write order of I] Time of Flight II] $v_x$ III] $v_y$

Answer 1

I] A > B > C, II] C > B > A, III] A > B > C

Answer 2

I] Time of Flight is proportional to the initial vertical velocity, which is proportional to the square root of the maximum height. Since $H_A > H_B > H_C$, $T_A > T_B > T_C$.

II] The horizontal velocity is constant and equal to the initial horizontal velocity $u_x$. The range is $R = u_x T$, so $u_x = R/T$. With $R_A < R_B < R_C$ and $T_A > T_B > T_C$, the ratio $R/T$ increases from A to C, implying $u_{xA} < u_{xB} < u_{xC}$.

III] The vertical velocity refers to the initial vertical velocity $u_y$. Since the maximum height $H = u_y^2/(2g)$, and $H_A > H_B > H_C$, we have $u_{yA} > u_{yB} > u_{yC}$.