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The slope of the graph dx/dt is maximum at C and hence the instantaneous velocity is maximum at C. Find the instantaneous velocity.

1. v_ins = lim Δs/Δt = ds/dt
2. v_ins = lim Δs/Δt = ds/dt at C
3. v_ins = ds/dt at maximum slope
4. None of these

Correct answer: v_ins = ds/dt at maximum slope

Solution

The instantaneous velocity is given by the derivative of displacement with respect to time, and at the point of maximum slope, this derivative is at its maximum value. Hence, the correct option is C.

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