Question 1144812
Let {{{ n }}} = the number of bounces
Let {{{ h }}} = the height after {{{ n }}} bounces
Let {{{ h[0] }}} = the starting height
{{{ h = h[0]*( 1 - 2/5 )^n }}}
{{{ h = h[0]*( 3/5 )^n }}}
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After 2nd bounce:
{{{ h = h[0]*( 3/5 )^2 }}}
{{{ h/h[0] = 9/25 }}}
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After 3rd bounce:
{{{ h = h[0]*( 3/5 )^3 }}}
{{{ h/h[o] = 27/125 }}}