Graphical representation-Motion in 1 d

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Question

Figure shows the velocity-time graph for a particle travelling along a straight line. The magnitude of average velocity (in m/s) of particle during the time interval from t = 0 to t = 6s is 10 $α$ . Find the value of $α$ .

Moderate

Solution

$\begin{matrix} Average velocity = \frac{Total displacement}{Total time} \\ = \frac{TotaT area under v - t graph}{Total time} \\ = \frac{\frac{1}{2} (5 + 2) (20) - \frac{1}{2} \times 1 \times 20}{6} \\ = 10 m / s \end{matrix}$

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