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Question

Question: The velocity time graph of a body moving in a straight line is shown in the figure. The displacement...

The velocity time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 sec are respectively

A

8m,16m8m,16m

B

16m,8m16m,8m

C

16m,16m16m,16m

D

8m,8m8m,8m

Answer

8m,16m8m,16m

Explanation

Solution

Area of rectangle ABCO = 4 × 2 = 8 m

Area of rectangle CDEF = 2 × (– 2) = – 4 m

Area of rectangle FGHI = 2×2 = 4 m

Displacement = sum of area with their sign = 8 + (– 4) + 4

= 8 m

Distance = sum of area with out sign = 8 + 4 + 4 = 16 m