Question 596458
{{{ h=-16^2+vt+s }}}

word problem:  A cat leaps into the air with an initial velocity of 8 feet per second to grab a string, and then falls back to the floor. How long does the cat remain in the air?
---------------------
{{{ h(t) = -16^2+vt+s }}}
it's  {{{ h(t) = -16t^2+8t }}} not 16^2
v = 8 ft/sec, s = 0
----------
{{{ h(t) = -16^2+8t }}}
Solve for h(t) = 0
One t is the time the cat jumps, the other is the time it returns to ground level.
------------
{{{ h(t) = -16^2+8t }}}
{{{-16^2+8t = 0}}}
t = 0, t = 2
The cat is off the ground for 2 seconds.