a body is moving in x direction with constant acceleration a. find the difference of the displacement
covered by it in nth second and (n-1)th. second
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Explanation:
acceleration is constant therefore velocity is changing
we have a formula for nth time displacement
s = u + a/2 (nth second - 1)
therefore,
displacement for nth second is
s(nth) = u + a/2 (n-1)
and ,
s(n-1th) = u + a/2 (n-1-1)
therefore, difference between nth sec. and n-1 th sec is
s(nth) - s(n-1th) = u +a/2 (n-1) - u -a/2 (n -2)
0 + an/2 - an/2 - a/2 - 2a/2
-a/2 - a
-3a/2
therefore, difference between displacement of nth and n-1th time is -3a/2.
hope it helps
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