The velocity of a body increases uniformly from 0 to 4 m / s in 2 s, falls uniformly to 0 at t = 3 s, continues uniformly to − 2 m / s at t = 5 s and then stays constant till t = 7 s. The displacement

Question

The velocity of a body increases uniformly from 0 to 4 m / s in 2 s, falls uniformly to 0 at t = 3 s, continues uniformly to − 2 m / s at t = 5 s and then stays constant till t = 7 s. The displacement of the body in the first 5 seconds is:

TestHub · Accepted Answer

Signed areas: 0 - 2 s: 2 1 ​ ( 2 ) ( 4 ) = 4 m; 2 - 3 s: 2 1 ​ ( 1 ) ( 4 ) = 2 m; 3 - 5 s: 2 1 ​ ( 2 ) ( − 2 ) = − 2 m. Displacement = 4 + 2 − 2 = 4 m. Option C.

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