First slide

Rectilinear Motion

Question

The distances moved by a freely falling body (starting from rest) during 1st, 2nd ,3rd, . . ., n^th second of its motion are proportional to

Moderate

A

Even numbers
B

Odd numbers
C

All integral numbers
D

Squares of integral numbers

Solution

$S_{n} = u + \frac{1}{2} a (2 n - 1)$
here u = 0
put n=1, 2, 3,…
The required ratio is 1 : 3 : 5 : ... so on

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