The velocity-time graph of a body moving in a straight line is shown in figure. The displacement and distance travelled by the body in 6 seconds are respectively: v (m/sec.) 5+ 4+ 3+ 2+ 1+ 23 3 45 5 6 t (sec.) 0 +1+ -27 (A) 8 m, 16 m (B) 16 m, 8 m (C) 16 m, 16 m (D) 8 m, 8 m
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Displacement is equal to area under the velocity time graph with proper sign. Distance is equal to total area under the speed time graph. ∴ Distance = 4 × 2 + 2 × 2 + 2 × 2 = 16m.
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