Question 1205148


a ball drops from a height of {{{100m}}}

 Each time it hits the ground it bounces {{{60}}}% of the height it fell. How far will it travel by the 4th bounce.

{{{100m+ 60m=160m}}}.......bounces ones ({{{60}}}% of {{{100m}}} is {{{60m}}} )
{{{60m+36m=96m}}}.......bounces twice ({{{60}}}% of {{{60m}}} is {{{0.6*60m=36m}}})
{{{36m+21.6m=57.6m}}}.......bounces three times ({{{60}}}% of {{{36m}}} is {{{0.6*36m=21.6m}}})
{{{21.6m+12.96m=34.56m}}}.......bounces four times ({{{60}}}% of {{{21.6m}}} is {{{0.6*21.6m=12.96m}}})

make table


# {{{of}}}{{{ bounces}}}|....{{{Height}}} {{{fallen}}} |.... {{{Height}}}{{{ bounced}}} |....{{{ Distance}}}{{{ traveled}}} |

|{{{ 1}}} |........................ {{{100m }}}............................{{{ 60m}}} ................................. {{{160m }}}
| {{{2}}} |........................ .. {{{60m}}} ........................  {{{36m}}}........................ .... {{{96m }}}
|{{{ 3}}} | ........................ {{{36m}}} ........................  {{{21.6m }}}........................ .. {{{57.6m}}} 
| {{{4 }}}| ........................ {{{21.6m }}}........................  {{{12.96m}}} ........................  {{{34.56m }}}

 
by the 4th bounce, the ball will have traveled a total distance of 

{{{160m + 96m + 57.6m + 34.56m =348.16m }}}