A body falling from rest describes distances S1, S2, S3 in first, second and third second of fall, the ratio of S1: S2: S3 is

Question

A body falling from rest describes distances S1, S2, S3 in first, second and third second of fall, the ratio of S1: S2: S3 is  (A) 1: 2: 3 (B) 1: 3: 5 (C) 1: 1: 1 (D) 1: 4: 9

Tardigrade Admin · Accepted Answer

Using Sn = u + (1/2) a(2n - 1), we get, Sn propto (2n - 1) in the given case = S1: S2: S3 :: 1: 3: 5

Q. A body falling from rest describes distances $S_{1}, S_{2}, S_{3}$ in first, second and third second of fall, the ratio of $S_{1} : S_{2} : S_{3}$ is _____

1 : 2 : 3

1 : 3 : 5

1 : 1 : 1

1 : 4 : 9

Using $S_{n} = u + \frac{1}{2} a (2 n - 1)$ , we get,
$S_{n} \propto (2 n - 1)$ in the given case = $S_{1} : S_{2} : S_{3} :: 1 : 3 : 5$

Q. A body falling from rest describes distances S1​,S2​,S3​ in first, second and third second of fall, the ratio of S1​:S2​:S3​ is _____