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A particle is dropped from the top of to...

A particle is dropped from the top of tower. It covers 40 m in last 2s. Find height of tower.

Text Solution

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Let the particle covers its total journey in n seconds then
`" " (1)/(2) g(n)^(2)- (1)/(2) g(n-2)^(2) = 40`
`rArr (4n-4) = 8 rArr n = 3`
height of tower = `(1)/(2) g(3)^(2) = 45`m
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