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The acceleration of a particle starting from rest, varies with time according to the relation a=kt+c. The velocity of the particle after time t will be

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a
kt2+ct
b
12kt2+ct
c
12kt2+ct
d
kt2+12ct

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detailed solution

Correct option is B

a=kt+c

dvdt=kt+c

dv=kt+cdt

dv=kt+cdt

v=kt22+ct

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