First slide

Projectile motion

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

Moderate

A

1, 2, 3, 4
B

2,3, 4, 1
C

3, 4, 1, 2
D

4,3,2, 1

Solution

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

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