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ICSE Class 9 Physics Question 8 of 17

Motion in One Dimension — Question 17

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Question 17

A body falls freely from a certain height. Show graphically the relation between the distance fallen and square of time. How will you determine g from this graph?

Answer

Below is the graph of distance fallen against square of time for a freely falling body :

A body falls freely from a certain height. Show graphically the relation between the distance fallen and square of time. How will you determine g from this graph? Motion in one dimension, Concise Physics Solutions ICSE Class 9.

The slope is half the acceleration due to gravity.

Thus, the value of acceleration due to gravity (g) can be obtained by doubling the slope of the S - t2 graph for a freely falling body.