Question
A particle shows distance -time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
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B
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C
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D
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A
Solution
A.
B
The particle has maximum instantaneous velocity at that point at which its slope is maximum.
Therefore, vmax = dx/dt = maximum slope
From the figure, it is obvious that at point C, the slope is maximum, hence at this point velocity is maximum.