Question 1171298

You are trying to dunk a basketball. 
You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function 

given:

{{{h(t) = -16t2 + 12t }}}
{{{h(t) =2.5}}}

{{{2.5= -16t^2 + 12t }}}

{{{16t^2 - 12t +2.5=0}}}

{{{t=(-b+-sqrt(b^2-4ac))/2a}}} where {{{a=16}}},{{{b=-12}}}, and {{{c=2.5}}}

{{{t=(-(-12)+-sqrt((-12)^2-4*16*2.5))/(2*16)}}}

{{{t=(12+-sqrt(144-160))/32}}}

{{{t=(12+-sqrt(-16))/32}}}
{{{t=(12+-4sqrt(-1))/32}}}
{{{t=(3+-i)/8}}}-> complex number

since there is no real solution, you will {{{not}}} be able to dunk the basketball