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Q. A particle is thrown vertically up with a certain velocity. Assuming the air resistance to be negligible, which one of the following represents the velocity (along $y$-axis) time (along $x$-axis) graph for the entire motion of the particle till it reaches back to the ground

J & K CETJ & K CET 2010Motion in a Straight Line

Solution:

In the positive region, the velocity decreases linearly (during rise) and in the negative region velocity increases linearly (during fall) and the direction is opposite to each other during rise and fall, hence fall is shown in the negative region.