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.

1, 2, 3, 4

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2, 3, 4, 1

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3, 4, 1, 2

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4, 3, 2, 1

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Solution

The correct option is D 4, 3, 2, 1
$R = \frac{u^{2} s i n 2 θ}{g} = \frac{2 u_{x} U_{y}}{g}$
$∴$ Range $\propto$ horizontal initial velocity component $(U_{x})$ since $(U_{y})$ 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.

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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.

The correct option is D 4, 3, 2, 1R=u2 sin 2θg=2uxUyg ∴ Range ∝ horizontal initial velocity component (Ux) since (Uy) 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.