When the ball is dropped from 45m height it will cover a distance of 45m while going down after rebound it'll cover a distance of
45× while going up and a distance of
45× while going down again. after 2nd rebound it'll cover a distance of
45×× while going up and a distance of
45×× while going down again and so on
i.e. total distance traveled by the ball is
this form 2 infinite GPs as
45+45×+45××+... and
45++45×++...For 1st GP a=45 and r= therefore sum of this infinite GP is
=For 2nd GP a
=45× and
r= therefore sum of this infinite GP is
=Therefore our answer
=+=180m i.e. option 'B'