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Question

Physics Question on Motion in a straight line

A body starts to fall freely under gravity. The distance covered by it in first, second and third second are in ratio

A

1:03:05

B

1:02:03

C

1:04:09

D

1:05:06

Answer

1:03:05

Explanation

Solution

Distance covered in nth n^{\text {th }} sec. sn=u+a2(2n1)s_{n}=u+\frac{a}{2}(2 n-1) \because u=0u=0 So, sn=a2(2n1)s_{n}=\frac{a}{2}(2 n-1), aa is constant Therefore, s1:s2:s3s_{1}: s_{2}: s_{3} =2(1)1:2(2)1:2(3)1=\\{2(1)-1\\}:\\{2(2)-1\\}:\\{2(3)-1\\} =1:3:5=1: 3: 5