Answer
a) 910 feet
b) 911 feet
c) 797 feet
d) 560 feet
e) Eventually, $abs(-16t^2+10t) > 910$. Because of this, the football will eventually hit the ground.
f) 8 seconds
Work Step by Step
$P(t)=-16t^2+10t+910$
a)
$t=0$
$P(t)=-16t^2+10t+910$
$P(0)=-16*0^2+10*0+910$
$P(0)=-16*0+0+910$
$P(0)=0+910$
$P(0)=910$
b)
$t=1/2$
$P(t)=-16t^2+10t+910$
$P(1/2)=-16(1/2)^2+10(1/2)+910$
$P(.5)=-16*1/4+5+910$
$P(.5)=-4+5+910$
$P(.5)=1+910$
$P(.5)=911$
c)
$t=3$
$P(t)=-16t^2+10t+910$
$P(3)=-16*3^2+10*3+910$
$P(3)=-16*9+30+910$
$P(3)=-144+940$
$P(3)=797$
d)
$t=5$
$P(t)=-16t^2+10t+910$
$P(5)=-16*5^2+10*5+910$
$P(5)=-16*25+50+910$
$P(5)=-400+960$
$P(5)=560$
f)
$P(t)=-16t^2+10t+910$
$t=7$
$P(t)=-16t^2+10t+910$
$P(7)=-16*7^2+10*7+910$
$P(7)=-16*49+70+910$
$P(7)=-784+70+910$
$P(7)=-714+910$
$P(7)=196$
$t=8$
$P(t)=-16t^2+10t+910$
$P(8)=-16*8^2+10*8+910$
$P(8)=-16*64+80+910$
$P(8)=990-1024$
$P(8)=-34$
