Question

A body falls 16 metres in the first second of its motion,48metres in the second, 80 metres in the third and so on. How long will it take to fall 4096 metres?

Answer 1

Step-by-step explanation:

the series for distance it fall is 16,48,80............... which is AP.

let, it takes N seconds to fall 4096m

therfore, sum of series for N terms=4096

or (N/2)(2*16+(N-1)*32)=4096

or, 16(N^2)=4096

or, (N^2)=4096/16=256

or N=16

Therefore, time required to fall 4096 = 16 seconds.