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Motion In A Plane

Question
CBSEENPH11020389

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

  • v0 + 2g + 3f

  • v0 + g/2 + f/3

  • v0 + g + f

  • v0 + g/2 + f

Solution

B.

v0 + g/2 + f/3

integral subscript 0 superscript straight x space dx space equals space integral subscript 0 superscript 1 space left parenthesis straight V subscript 0 space plus space gt space plus ft squared right parenthesis space dt
straight x space equals straight v subscript 0 space plus space straight g space open parentheses 1 half close parentheses space plus straight f open parentheses 1 third close parentheses