NEET Class neet Answered
a body dropped from top of the tower fall through 40m during the last two seconds of its fall the height of the tower
Asked by frozen.queen2488 | 01 Jun, 2022, 18:23: PM
Expert Answer
Let A be the point at Top of tower of height h . Let C be the point at bottom of tower.
Let B be the point where the body reaches 2 second before reaching the bottom of tower .
At the point B , velocity v of body is given as
v = g × (t-2 ) .............................. (1)
From B to C , the body has travelled 40 m distance in 2 seconds. hence we have
40 = [ g × (t-2) ] × 2 + (1/2) g 22 ...........................(2)
( equation of motion " S = u t + (1/2) g t2 " is used to get above equation (2) )
By simplifying eqn.(2) , we get
2 g (t-1)= 40
Hence time t is calculated as
t = [ 40 / ( 2 × 9.8) ] +1 = 3.04 s
Total height of the tower is calculated as
h = (1/2) g t2 = (1/2) × 9.8 × 3.04 × 3.04 = 45.31 m
Answered by Thiyagarajan K | 01 Jun, 2022, 20:46: PM
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