Question

Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component highest first.

• A. 1, 2, 3, 4
• B. 2, 3, 4, 1
• C. 3, 4, 1, 2
• D. 4, 3, 2, 1

Answer 1

The correct option is D 4, 3, 2, 1

$R=\frac{u^{2}sin2\theta }{g}=\frac{2u_x{U}_y}{g}$
$\therefore$ Range $\propto$ horizontal initial velocity component $\left(U_x\right)$ since $\left(U_y\right)$ is same in all cases, as the maximum height is same. In path 4 range is maximum for football, and has maximum horizontal velocity component.