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CBSE Class 11-science Answered

A stone falling from the top of a vertical tower has descended x metres when another is let fall from a point? y metres below the top. if they fall from rest and reach the ground together, show that the height of the tower is
Asked by nsoukhya | 13 May, 2020, 07:30: PM
answered-by-expert Expert Answer
T o t a l space t i m e space t a k e n space b y space f i r s t space s t o n e space t o space r e a c h space t h e space g r o u n d
t equals square root of fraction numerator 2 h over denominator g end fraction end root
T i m e space t a k e n space b y space t h e space 1 s t space s t o n e space t o space d e s c e n d space h e i g h t space x space i s
t subscript 1 equals square root of fraction numerator 2 x over denominator g end fraction end root
T i m e space t a k e n space b y space 2 n d space s t o n e space t o space r e a c h space t h e space g r o u n d
t subscript 2 equals square root of fraction numerator 2 open parentheses h minus y close parentheses over denominator g end fraction end root
A s space p e r space t h e space q u e s t i o n
t minus t subscript 1 equals t subscript 2
square root of fraction numerator 2 h over denominator g end fraction end root minus square root of fraction numerator 2 x over denominator g end fraction end root equals square root of fraction numerator 2 open parentheses h minus y close parentheses over denominator g end fraction end root
O n space S i m p l i f i c a t i o n
square root of 2 h end root minus square root of 2 x end root equals square root of 2 open parentheses h minus y close parentheses end root
A q u a r i n g space b o t h space s i d e s
2 h plus 2 x minus 2 left parenthesis square root of 2 h end root right parenthesis left parenthesis square root of 2 x end root right parenthesis equals 2 left parenthesis h minus y right parenthesis
2 x plus 2 y equals 4 square root of h x end root
x plus y equals 2 square root of h x end root
O n space s q u a r i n g
fraction numerator open parentheses x plus y close parentheses squared over denominator 4 x end fraction
Answered by Utkarsh Lokhande | 15 May, 2020, 12:53: AM
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