A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th second to that covered in 5 seconds is
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Distance covered in nth second
S = u + a(n - 0.5)
In 5th second
S₁ = 0 + a(5 - 0.5)
S₁ = 4.5a
Distance covered in t seconds
S = ut + 0.5at²
In 5 seconds
S₂ = 0 + (0.5 × a × (5 s)²)
S₂ = 12.5a
S₁ / S₂ = 4.5a / (12.5a)
= 9 / 25
Ratio of distance travelled in 5th second to 5 seconds is 9 : 25.
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Hope it helps you and solves the problem. Sorry but I took help from my previous same answer.
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