Question 1177994

erika jumped off a cliff into the ocean while vacationing with some friends. her height as a function of time could be modeled by the h= -16t^2 + 16t + 96 where “t” is the time in seconds and “h” is the height in feet. what was the highest point that erika reached?
<pre>The MAXIMUM height is reached when {{{matrix(1,4, time, (t), "=", (- b)/(2a))}}} or at {{{matrix(1,7, t, "=", (- 16)/(2 * - 16), "=", (- 16)/(- 32), "=", 1/2)}}}
We now get: {{{highlight_green(matrix(2,1, matrix(4,3, h(t), "=", - 16t^2 + 16t + 96, h(1/2), "=", - 16(1/2)^2 + 16(1/2) + 96, h(1/2), "=", - 16(1/4) + 16(1/2) + 96, h(1/2), "=", - 4 + 8 + 96), highlight(matrix(1,4, h(1/2), "=", 100, feet)))))}}}