The velocity of a body rises uniformly from 0 to 20 m / s in 1 s, stays 20 m / s for 2 s, falls uniformly to 0 at t = 4 s and continues uniformly to − 10 m / s at t = 6 s. The distance and displacemen

Question

The velocity of a body rises uniformly from 0 to 20 m / s in 1 s, stays 20 m / s for 2 s, falls uniformly to 0 at t = 4 s and continues uniformly to − 10 m / s at t = 6 s. The distance and displacement in 6 seconds, in metres, are:

TestHub · Accepted Answer

Areas: 2 1 ​ ( 1 ) ( 20 ) = 10 , ( 2 ) ( 20 ) = 40 , 2 1 ​ ( 1 ) ( 20 ) = 10 , 2 1 ​ ( 2 ) ( 10 ) = 10 (below the axis). Distance = 10 + 40 + 10 + 10 = 70 m; displacement = 70 − 20 = 50 m. Option A.

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