Rankers Physics
Topic: Kinematics
Subtopic: Motion Under Gravity

A stone dropped from the top of a tower travels 5/9th of the height of tower during the last second of fall. Height of the tower is : (Take g = 10 m/s²)
52 m
36 m
45 m
78 m

Solution:

From Galileo's ratio of odd number distances travelled in consecutive seconds are in the order of 1:3:5:7... Here distance travelled in 3rd second is 5/9th of total distance total time of flight is 3 second.

\[ s= \frac{1}{2}gt^{2}= \frac{1}{2}\times 10\times 3^{2}= 45 m \]

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