Question

For a body starting from rest and moving with uniform positive acceleration, the distances covered in successive equal time intervals are in the ratio ______.

Options

• 1:2:3:4 …

• 1:3:5:7 …

• 2:4:6:8 …

• 1:4:9:16…

Answer 1

For a body starting from rest and moving with uniform positive acceleration, the distances covered in successive equal time intervals are in the ratio 1:3:5:7…

Explanation:

Using s = \[\frac {1}{2}\]at², the distances in the 1st, 2nd, 3rd seconds, etc. form a sequence proportional to 1, 3, 5, 7,… for motion from rest with uniform acceleration. This is also valid for a freely falling body starting from rest.