Mathematics 3 problem?
Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?
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Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?
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20m*( 2/3+4/9+8/27...........)= D is the distance.
The geometric series 2/3+4/9+8/27...... has the sum3.
Therefore D=20m *3= 60m
20(2/3)^x
20/(1-(2/3))
=20/(1/3)=60