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The acceleration of a particle starting from rest, varies with time according to the relation \( a=k t+c \). The velocity of the particle after time \( t \) will be :
(A) \( k t^{2}+c t \)
(B) \( \frac{1}{2} k t^{2}+c t \)
(C) \( \frac{1}{2}\left(k t^{2}+c t\right) \)
(D) \( k t^{2}+\frac{1}{2} c t \)
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