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A body is moving along a straight line with uniform acceleration 'a'.The displacement of the body in nth second is given as 2s =20 + 5(2n -1). The acceleration of the body is
) 10 ms²
2)20
20 ms-2
3) 2.5 ms-2
4) 5 ms 2
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Answer :

Answer:

Step-by-step explanation:

2s=20+5(2n−1)

2s=20+10n−5

2s=10n+15

s=5n+7.5

s​=u+2a​(2n−1)

Comparing this with the simplified equation (s = 5n + 7.5), we can see that:

5n=2a​(2n−1)

10n=a(2n−1)

10=2a⟹a=5ms−2

So, the acceleration of the body is 5m/s2 . The correct answer is option 4.

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