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Question

A body is thrown vertically upwards. Which one of the following graphs correctly represents its velocity vs time curve? A). Straight line with negative slope passing through the t-axis B). V-shape curve C). Inverted V-shape curve D). Straight line with positive slope

Edvaya · Accepted Answer

The correct answer is Straight line with negative slope passing through the t-axis. **Solution:** For a body thrown vertically upwards, the acceleration remains constant and acts strictly downwards ($a = -g$). The velocity at any time $t$ is given by $v = u - gt$. This translates to the equation of a straight line with a constant negative slope. During its rise, the velocity decreases linearly to zero. During its fall, the velocity increases linearly in the opposite (negative) direction. Hence, the graph correctly depicting velocity versus time is a straight line with a constant negative slope crossing the time axis.

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Physics > Mechanics > Motion In A Straight Line And Plane

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