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Question

Physics Question on speed and velocity

The velocity-time graph of a body is shown in figure. The displacement covered by the body in 8 s is

A

9 m

B

12 m

C

10 m

D

28 m

Answer

10 m

Explanation

Solution

Displacement in 8 s = Algebraic sum of the area under velocity-time graph =2?2+12?1?4+1?2+12?1?612?16?= 2 ? 2 + \frac{1}{2} ?1 ?4 +1 ?2 + \frac{1}{2} ?1 ?6 -\frac{1}{2} ? 16?= 4 + 2 + 2 + 3 - 3 - 6 + 8 = 10, m,$