Kinematics

JEE Main level, single correct, medium

80 of 308

Question 80 of 308

From a building two balls A\mathrm{A} and B\mathrm{B} are thrown such that A\mathrm{A} is thrown upwards A\mathrm{A} and B\mathrm{B} downwards (both vertically). If vA\mathrm{v}_{\mathrm{A}} and vB\mathrm{v}_{\mathrm{B}} are their respective velocities on reaching the ground, then

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Answer: (B) VA=VB\mathrm{V}_{\mathrm{A}}=\mathrm{V}_{\mathrm{B}}

As the ball moves down from height ' hh ' to ground the P.E at height ' hh ' is converted to K.E. at the ground (Applying Law of conservation of Energy)
Hence,
12mAvA2=mAghA\frac{1}{2} m_A v_A^2=m_A g h_A or vA=2ghAv_A=\sqrt{2 g h_A}; Similarly, vB=2ghv_B=\sqrt{2 g h} or vA=vBv_A=v_B

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