Sunday, February 21, 2010

A body is thrown up with a speed of 49m/s. It travels 5m in the last second of its upward journey. If the same body is thrown up with a velocity of...

We'll ignore air resistance. Denote the gravitational acceleration as


Then the speed is where is the initial upward speed. The last moment of an upward journey is that moment when Therefore second before this the speed (denote it as ) is greater than zero by It is regardless of


The distance traveled during the last second is and recall that and Thus regardless of the initial speed.


So the answer is: the distance is 5 m, the same as in the first case.


Note 1. The result of means that the value of  was used.


Note 2. For initial speeds less than the above reasoning appears incorrect.

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