A particle is moving in a straight line with initial velocity u and uniform acceleration f. If the sum of the distances travelled in tth and (t+1)th seconds is 100 cm, then its velocity after t seconds, in cm/s,  is

A particle is moving in a straight line with initial velocity u and uniform acceleration f. If the sum of the distances travelled in tth and (t+1)th seconds is 100 cm, then its velocity after t seconds, in cm/s,  is

  1. A

    20

  2. B

    30

  3. C

    50

  4. D

    80

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    Solution:

    Sum of distances travelled in tth and (t+1)th seconds is 100 cm.

    u+a2(2t-1)+u+a2(2(t+1)-1) = 100

    2u + 2at = 100

    u+at = 1002    v = 50 cm/s

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