A particle is moving in a straight line with initial velocity \( u \) and uniform acceleration \...

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A particle is moving in a straight line with initial velocity \( u \) and uniform acceleration \( f \). If the sum of the distances travelled in \( t^{\text {th }} \) and \( (t+1)^{\text {th }} \) seconds is \( 100 \mathrm{~cm} \), then its velocity after \( t \) seconds, in \( \mathrm{cm} / \mathrm{s} \), is :
(A) 20
(B) 30
(C) 50
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