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A body dropped from a tall building covers,two floors in the first second.If all the floors are of equal height,the number of floors it covers in the next one second is

A body dropped from a tall building covers,two floors in the first second.If all the floors are of equal height,the number of floors it covers in the next one second is

Grade:11

1 Answers

Anil Pannikar AskiitiansExpert-IITB
85 Points
11 years ago

Dear Chakrala,

 

Let height of 1 floor is h,

u = 0 , so,  v  = u + at     (a = g =10 m/s2 )

                 v = 10 * 1 = 10 m/s

  Now,    v2 - u2 = 2as

 so,     100  = 2 * 10 * s

    or,   s = 5 m

which implies height of each floor is  = 5 / 2 =  2.5 m

For 2 sec. , distance covered is  s= ut + 1/2 at2 = 0 + 10 * 4/2 = 20m

So, we have Distance covered in 2nd second = 20 - 5 = 15 m

Henc e, No. of floor = 15/2.5 = 6

 

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Askiitians Expert

Anil Pannikar

IIT Bombay

 

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