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

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

Tardigrade Admin · Accepted Answer

R=(u2 sin 2 θ/g)=(2 ux vy/g) ∴ Range v horizontal initial velocity (ux) In path 4 range is maximum so football possess maximum horizontal velocity in this path.

Q. 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

$1, 2, 3, 4$

$2, 3, 4, 1$

$3, 4, 1, 2$

$4, 3, 2, 1$

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

Q. 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

2,3,4,1

3,4,1,2

4,3,2,1

R=gu2sin2θ​=g2ux​vy​​ ∴ Range v horizontal initial velocity (ux​) In path 4 range is maximum so football possess maximum horizontal velocity in this path.

$1, 2, 3, 4$

$2, 3, 4, 1$

$3, 4, 1, 2$

$4, 3, 2, 1$

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