Answer
a) Please see the table.
b) Between 6 and 7 seconds
c) 156 feet
Work Step by Step
a)
$x=0$
$y=-16x^2+100x$
$y=-16*0^2+100*0$
$y=-16*0+0$
$y=0$
$x=1$
$y=-16x^2+100x$
$y=-16*1^2+100*1$
$y=-16+100$
$y=84$
$x=2$
$y=-16x^2+100x$
$y=-16*2^2+100*2$
$y=-16*4+100*2$
$y=-64+200$
$y=136$
$x=3$
$y=-16x^2+100x$
$y=-16*3^2+100*3$
$y=-16*9+300$
$y=-144+300$
$y=156$
$x=4$
$y=-16x^2+100x$
$y=-16*4^2+100*4$
$y=-16*16+400$
$y=-256+400$
$y=144$
$x=5$
$y=-16x^2+100x$
$y=-16*5^2+100*5$
$y=-16*25+500$
$y=-400+500$
$y=100$
$x=6$
$y=-16x^2+100x$
$y=-16*6^2+100*6$
$y=-16*36+600$
$y=-576+600$
$y=24$
$x=7$
$y=-16x^2+100x$
$y=-16*7^2+100*7$
$y=-16*49+700$
$y=-784+700$
$y=-84$
b)
The rocket hits the ground between 6 and 7 seconds.
c)
The highest height was at 3 seconds (156 feet).
