Question

H=7+44t-16^2

Answer 1

Answer:

$t_1\approx2.18$

$t_2\approx0.57$

Step-by-step explanation:

$h=7+44t-16t^2$

$27=7+44t-16t^2$

$0=-20+44t-16t^2$

$0=-16t^2+44t-20$

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}$

$t=\frac{-44\pm\sqrt{1936-1280}}{-32}$

$t=\frac{-44\pm\sqrt{656}}{-32}$

$t=\frac{-44\pm4\sqrt{41}}{-32}$

$t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}$

$t_1\approx2.18$

$t_2\approx0.57$