Trajectories are shown in figure for three kicked footballs A, B and C. Initial vertical and horizontal velocity components are u y and u x respectively. Ignoring air resistance, match List-I with

Question

Trajectories are shown in figure for three kicked footballs A, B and C. Initial vertical and horizontal velocity components are $u_{y}$ and $u_{x}$ respectively. Ignoring air resistance, match List-I with List-II and choose the correct option.

List-I	List-II
(P) Time of flight	(1) greatest for A only
(Q) $u_{y} / u_{x}$	(2) greatest for C only
(R) $u_{x}$	(3) equal for A and B
(S) $u_{x} / u_{y}$	(4) equal for B and C
	(5) None of these

TestHub · Accepted Answer

From the figure, maximum heights satisfy $H_{A} = H_{B} > H_{C}$ ,

so $u_{y}$ is equal for A and B, and least for C.

Ranges satisfy $R_{B} = R_{C} > R_{A}$ .

Time of flight $T = 2 u_{y} / g$ : equal for A and B, so $P \to 3$ .

$u_{y} / u_{x}$ is greatest for A, so $Q \to 1$ .

$u_{x}$ is greatest for C, so $R \to 2$ .

$u_{x} / u_{y}$ is greatest for C, so $S \to 2$ .

Answer (B).

Physics - Kinematics Question with Solution | TestHub

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