Q.

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?

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a

b

c

d

answer is C.

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Detailed Solution

If the air resistance remains constant during the whole journey of the ball, then velocity of the ball at any time t is given by v = (u - at) where a = (g+ R/m) in upward journey and a = (g - R/m) in downward journey. speed |v| = (u - at) for t ≤ u/a and |v| = (at - u) for t ≥ u/a. Therefore option (3) is right.
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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?