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

Horizontal distance (range) = horizontal; component of velocity

\times

time period

∴

Horizontal range

α

horizontal component of velocity. Horizontal range

R_{4} > R_{3} > R_{2} > R_{1}

Therefore, horizontal velocity component,

(v_{H})_{4} > (v_{H})_{3} > (v_{H})_{2} > (v_{H})_{1}

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

Horizontal distance (range) = horizontal; component of velocity × time period ∴ Horizontal range α horizontal component of velocity. Horizontal range R4​>R3​>R2​>R1​ Therefore, horizontal velocity component, (vH​)4​>(vH​)3​>(vH​)2​>(vH​)1​

Horizontal distance (range) = horizontal; component of velocity $\times$ time period
$∴$ Horizontal range $α$ horizontal component of velocity. Horizontal range $R_{4} > R_{3} > R_{2} > R_{1}$
Therefore, horizontal velocity component, $(v_{H})_{4} > (v_{H})_{3} > (v_{H})_{2} > (v_{H})_{1}$