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(D) When a ball is thrown vertically upwards with an initial velocity $u$,it moves under the influence of constant gravitational acceleration $g$ acti

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(D) When a ball is thrown vertically upwards with an initial velocity $u$,it moves under the influence of constant gravitational acceleration $g$ acting downwards.According to the equation of motion,$v = u - gt$.$1$. During the upward journey,the velocity is positive and decreases linearly with time until it becomes zero at the maximum height.$2$. At the maximum height,the velocity is zero.$3$. During the downward journey,the velocity becomes negative (as it is directed downwards) and its magnitude increases linearly with time.$4$. The slope of the velocity-time graph is $-g$,which is constant throughout the motion.Therefore,the graph is a straight line with a negative slope passing through the positive velocity axis,crossing the time axis,and continuing into the negative velocity region. This corresponds to the graph shown in option $D$.

$A$ ball is thrown vertically upwards. Which of the following graphs represents the velocity-time graph of the ball during its flight (air resistance is neglected)?

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