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Question

Physics Question on projectile motion

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

Answer

4, 3, 2, 1

Explanation

Solution

Horizontal distance (range) = horizontal; component of velocity ×\times time period \therefore Horizontal range α\alpha horizontal component of velocity. Horizontal range R4>R3>R2>R1R_{4}>R_{3}>R_{2}>R_{1} Therefore, horizontal velocity component, (vH)4>(vH)3>(vH)2>(vH)1\left(v_{H}\right)_{4}>\left(v_{H}\right)_{3}>\left(v_{H}\right)_{2}>\left(v_{H}\right)_{1}