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Check the accuracy of the relation s = u...

Check the accuracy of the relation `s = ut + (1)/(2)at^(2)` where s is the distance travelled by the with uniform acceleration a in time t and having initial velocity u.

Answer

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Derive dimensionally the relation s = ut +(1)/(2)f t^(2) .

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Knowledge Check

  • Assertion : In the equation, s=u+at-(1)/(2)a where, s is the distance travelled by uniformly accelerated body in tth second. Reason : The above equation is dimensionally incorrect.

    A
    If both Assertion and Reason are correct and Reason is the correct explanation of assertion.
    B
    If both Assertion and Reason are correct but Reason in not the correct explanation of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If Assertion is false but Reason is true.

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    Chek the correctness of the relation, S_(n_(th)) = u +(a)/(2)(2n -1), where u is initial velocity, a is acceleratin and S_(n_(th)) is the distance travelled by the body in nth second.

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