Question

find the displacement at time 2 second​

Answer 1

Explanation:

Velocity of a particle is given by

v=3(t2−t). . . . . . .(1)

Velocity, v=dtdx. . . . . . .(2)

From equation (1) and (2), we get

dtdx=3(t2−t)

dx=3(t2−t)dt

Integrating both side,

x=3∫02(t2−t)dt

x=3∣[3t3−2t2]∣02

x=3[32×2×2−22×2−(0−0)]

x=3(32)

x=2m

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