A Stone Is Dropped From A Height Of 125 M. If g = 10 Ms–2, What Is The Ratio Of The Distances Traveled By It During The First And The Last Second Of Its Motion? 

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Question

A stone is dropped from a height of 125 m. If g = 10 ms–2, what is the ratio of the distances traveled by it during the first and the last second of its motion? 

Solution

Correct option is

1 : 9

 

Since the initial velocity of the stone is zero, the total time taken by the stone to hit the ground is given by 

           

  

            

             = 5 s

During the first second, the stone falls a distance h1 given by

       

            

During the first four seconds, the stone falls a distance h given by

           

           

 Distance h2 through which the stone falls in the last (i.e. fifth) second

      = 125 – 80  

      = 45 m. 

.

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