Question

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?

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Answer

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

square-time-displacement-concise-physics-solutions-icse-class-9-1333x1252

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.

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