Question 1123231
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<pre>
(a)  The initial velocity v0= 0 in this case, so the equation becomes


     {{{-16*t^2 + 27000}}} = 0,   or


     {{{16t^2}}} = 27000,


     {{{t^2}}} = {{{27000/16}}} = 1687.5,


     t = {{{sqrt(1687.5)}}} = 41.1 seconds.


(b)  500 {{{miles/hour}}} * {{{1/3600}}} {{{1/s}}} * 41.1 s = 5.69 miles.
</pre>

Solved.


The solution is valid under assumption that air resistance is neglected.