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

Answer: (D)

$R=\frac{u^{2} \sin 2 \theta}{g}=\frac{2 u_{x} v_{y}}{g}$
$\therefore $ Range $v$ horizontal initial velocity $\left(u_{x}\right)$
In path $4$ range is maximum so football possess maximum horizontal velocity in this path.