KinematicsMedium
Question
The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration (a) versus distance ( x ) variation of this system?
Options
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B.
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D.
Solution
Eq. of V vs x from graph
$${V = C_{1} - C_{2}x }{a = V\frac{dV}{dx} }{= \left( C_{1} - C_{2}x \right) \times - C_{2} }{a = C_{2}^{2}x - C_{1}C_{2} }$$∴ graph is straight line + ve solve - ve intercept
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