For the displacement-time graph shown in figure, the ratio of the magnitudes of the instantaneous velocities during t=1s and t=4s is
A
1 : 1
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B
2 : 1
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C
1 : 2
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D
3 : 2
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Solution
The correct option is B 2 : 1 Slope of displacement-time graph at a point represents instantaneous velocity. ∴Velocity at t=1sec is given by v1=dxdt=tanθ=202m/s
Velocity at t=4sec is given by v2=dxdt=tanθ=−204m/s
(∵ direction gets reversed) ⇒ Ratio of magnitudes of velocities =v1v2=105=2:1