The displacement of a body from a reference point, is given by x=2t+3 where x is in meter and t in seconds. This shows that the body is
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a
at rest
b
accelerated
c
decelerated
d
in uniform motion
answer is B.
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Detailed Solution
Squaring both sides, we have x=12t+4t2+9Since displacement x changes with time t, the body cannot be at rest. The velocity of the body is given by v=dxdt=12+8tSince the velocity v changes with time t, the body is not in uniform motion; it is accelerated because v increases with t.