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Q.

You calculate that to throw an object vertically to a height h it needs to be launched with an initial upward velocity v0, assuming no air resistance. The dashed lines in figure show the motion according to this calculation. Which of the velocity-time graphs shows the motion of an object tossed with initial upward velocity v1 that will also rise to height h, but this time with air resistance?

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a

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b

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c

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d

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answer is B.

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Detailed Solution

Initial velocity v1 must be greater than v0 if it has to reach same height and finally while coming back it will approach a terminal velocity. Hence (b) is correct.

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You calculate that to throw an object vertically to a height h it needs to be launched with an initial upward velocity v0, assuming no air resistance. The dashed lines in figure show the motion according to this calculation. Which of the velocity-time graphs shows the motion of an object tossed with initial upward velocity v1 that will also rise to height h, but this time with air resistance?