An insect crawling up a wall crawls 6 cm up in first second and then slides 4
cm down in next second. It again crawls up 6 cm in third second and again
slides 4 cm downwards in 4th second. How long will insect take to reach a
hole in wall at a vertical height of 24 cm from starting point?
Answers
The inscet will take 19 s to reach a hole in the wall at a vertical height of 24 cm
Explanation:
Given:
An insect crawls up a wall 6 cm in first second and then slides down to 4 cm in the next second and it repeats the same
To find out:
The time taken in reaching a vertical wall of 24 cm height
Solution:
Since, the insect crawls up a wall 6 cm in first second and then slides down to 4 cm in the next second
Therefore, in 2 seconds, the inscet will cover the distance = 2 cm
In 18 seconds, the inscet will cover the vertical distance = 18 cm
After that in the next second i.e. in 19th second, it will again climb up 6 cm and reach the hole (as 18 + 6 = 24)
Thus, the time taken by the inscet = 19 seconds
Hope this answer is helpful.
Know More;
Q: An insect crawling up a wall crawls 5 cm upwards in the first minute but then slides 3 cm downwards in the next minute. It again crawls up 5 cm upwards in the third minute but again slides 3 cm downwards in the fourth minute. How long will the insect take to reach a crevice in the wall at a height of 24 cm from its starting point? How does the position-time graph of the insect look like?
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Given : An insect crawling up a wall crawls 6 cm up in first second and then slides 4 cm down in next second.
It again crawls up 6 cm in third second and again slides 4 cm downwards in 4th second.
To Find : How long will insect take to reach a hole in wall at a vertical height of 24 cm from starting point
Solution:
crawls 6 cm up in first second and then slides 4 cm down in next second.
=> in 2 secs , it goes up by 4 - 2 = 2 cm
Distance of 2 cm in 2 secs
=> on average 1 cm every sec
at first it looks like it will take 24 sec to go 24 cm
but once insect reach 24 cm ( in hole ) then it will not slide back
Hence 24 - 6 = 18 cm , So time taken would be
time taken to reach 18 cm and then 1 more sec to reach 24 cm
it will take 18 sec to go 18 cm
Hence Total time taken = 18 + 1 = 19 secs
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