Q. A particle is thrown above, then correct v-t graph will be

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Solution:

Taking initial position as origin and direction of motion (i.e., vertically up) as positive. As the particle is thrown with initial velocity, at highest point its velocity is zero and then it returns back to its reference position. This situation is best depicted in figure of option (a).
image
In figure, part denotes upward motion and part denotes downward motion.