3. A body falls freely from the top of a tower and during the last second of its flight it falls 5/9th of the whole distance. The height of the tower and time of motion are respectively
(a) 44.1 m and 3s
(b) 44.1 m and 5s
(C) 4.41 m and 3s
(d) none of the above
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=> 44.1m
If the height of the tower is h metre and the total time of fall is n seconds, then
5/9 = 0 + 9.8/2 (2n - 1)
and. h = 0 + 1/2 (9.8)n²
=> 5/9 (4.9n²) = 4.9(2n - 1)
=> 5n² = 18n - 9
=> n = 3
from Eq. (1)
h = 4.9n² = 4.9 × 3² = 44.1
Hence, the time of motion is 3s and the height of the tower is 44.1m.
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Answer:
option to (a) 44.1 m and 3s
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