JEE Main Physics question

Physics Motion in a Straight Line JEE Main

A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored [AIIMS 2003]

(A)A curve with a sharp angular "V" (straight declining and inclining segments)
(B)A curve declining to a minimum then rising, with only partial curvature
(C)A similarly partially-curved variant of (B)
(D)A smooth, continuously curved "U"-shaped parabola with no sharp corner at Correct

Answer: (D)

Solution

With air resistance, deceleration (going up) and acceleration (coming down) both depend on instantaneous speed (not constant), so

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Question ID VK-152718