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Velocity-Time Graphs

Velocity-time...

Question

Velocity-time graph of a particle starting from the origin and at time t = 0 moving in straight line is shown in the figure. Corresponding velocity position graph of the particle, is

A

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B

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C

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D

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Solution

The correct option is A
$v = \frac{v_{0}}{t_{0}} t$

$x = \frac{1}{2} (\frac{v_{0}}{t_{0}}) t^{2}$

$x = \frac{1}{2} \frac{v^{2}}{(\frac{v_{0}}{t_{0}})}$

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