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Question:

A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is:

h2=3h1andh3=3h2

h1=h3=h3

h1=2h2=3h3

h1=h23=h35

Solution:

h1=12gt2=12×10×52=125
h2=12×10×102−12×10×52=375
h3=12×10×152−12×10×102=625
Hence h1=h23=h35