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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

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1, 2, 3, 4

2, 3, 4, 1

3, 4, 1, 2

4, 3, 2, 1

answer is D.

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Detailed Solution

(4)
$R = \frac{u^{2} \sin 2 θ}{g} = \frac{2 u_{x} v_{y}}{g}$
$∴$ Range $\infty$ horizontal initial velocity (u_x)
In path 4 range is maximum so football possess maximum horizontal velocity in this path.

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