First slide

Significant figures

Question

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement

Moderate

A
B
C
D

Solution

$From graph V = - \frac{V_{0}}{x_{0}} x + V_{0}$
$a = \frac{dV}{dt} = - \frac{V_{0}}{x_{0}} (\frac{dx}{dt}) = - \frac{V_{0}}{x_{0}} (- \frac{V_{0}}{x_{0}} x + V_{0}) = \frac{V_{0}^{2}}{x_{0}^{2}} x - \frac{V_{0}^{2}}{x_{0}}$

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