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cluponka [151]
3 years ago
8

When you drop an object from a certain height, it takes time T to reach the ground with no air resistance. If you dropped it fro

m three times that height, how long (in terms of T) would it take to reach the ground?
Physics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

Explanation:

Given

When we drop an object from height , suppose h

it takes time T

using equation of motion

h=ut+\frac{1}{2}at^2

where  

h=displacement

u=initial\ velocity

a=acceleration

t=time

here u=0 because it dropped from a certain height

h=\frac{1}{2}gT^2

T=\sqrt{\frac{2h}{g}}

When height is increases to three times of original height

i.e. h'=3 h

then time period becomes

T'=\sqrt{\frac{2\times 3h}{g}}

T'=\sqrt{3}T

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