What is the speed-time graph for a ball throw | vedclass

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(C) When a ball is thrown vertically upwards with an initial velocity $u$,its velocity $v$ at any time $t$ is given by $v = u - gt$,where $g$ is the a

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(C) When a ball is thrown vertically upwards with an initial velocity $u$,its velocity $v$ at any time $t$ is given by $v = u - gt$,where $g$ is the acceleration due to gravity.Speed is the magnitude of velocity,so $	ext{Speed} = |v| = |u - gt|$.During the upward journey,the velocity decreases linearly from $u$ to $0$ as $t$ increases from $0$ to $u/g$. Thus,the speed decreases linearly.At the maximum height,the velocity is $0$,so the speed is $0$.During the downward journey,the velocity becomes negative and its magnitude increases linearly from $0$ as $t$ increases beyond $u/g$. Thus,the speed increases linearly.Therefore,the speed-time graph consists of two straight lines meeting at the time axis,representing a linear decrease followed by a linear increase. This corresponds to option $C$.

What is the speed-time graph for a ball thrown vertically upwards? (Neglect air resistance)

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