Answer
a) 2,560 ft
b) 1,920 ft
c) 13 seconds
d) $16*(13-t)(13+t)$
Work Step by Step
a)
$t=3$
$h=2704-16t^2$
$h=2704-16*3^2$
$h=2704-16*9$
$h=2704-144$
$h=2560$
b)
$t=7$
$h=2704-16t^2$
$h=2704-16*7^2$
$h=2704-16*49$
$h=2704-784$
$h=1920$
c)
$h=2704-16t^2$
$0=2704-16t^2$
$16t^2=2704$
$16t^2/16=2704/16$
$t^2=169$
$\sqrt {t^2} = \sqrt {169}$
$t = ±13$
We can't have a negative time, so $t = 13$ seconds.
d)
$2704-16t^2$
$16*(169-t^2)$
$16*(13-t)(13+t)$
