SOLUTION: Solve the problem. A toy rocket is shot vertically upward from the ground. Its height in feet from the ground in t seconds is given by h = -16t2 + 128t . At what time or times wil

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Question 1061238: Solve the problem. A toy rocket is shot vertically upward from the ground. Its height in
feet from the ground in t seconds is given by h = -16t2 + 128t . At what time or times will
the ball be 152 ft from the ground? Leave your answer as a reduced fraction or tenth of a
second, if necessary.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h+=+-16t%5E2+%2B+128t+
+152+=+-16t%5E2+%2B+128t+
Divide both sides by +8+
+19+=+-2t%5E2+%2B+16t+
+-2t%5E2+%2B+16t+-+19+=+0+
----------------------------
+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-2+
+b+=+16+
+c+=+-19+
+t+=+%28+-16+%2B-+sqrt%28+16%5E2+-+4%2A%28-2%29%2A%28-19%29+%29%29%2F%282%2A%28-2%29%29+
+t+=+%28+-16+%2B-+sqrt%28+256+-+152+%29%29%2F%28-4%29%29+
+t+=+%28+-16+%2B+sqrt%28+104+%29+%29+%2F+%28-4%29+
+t+=+%28+-16+%2B+10.2+%29+%2F+%28-4%29+
+t+=+5.8%2F4+
+t+=+1.45+ sec
and, also
+t+=+%28+-16+-+sqrt%28+104+%29+%29+%2F+%28-4%29+
+t+=+%28+-16+-+10.2+%29+%2F+%28-4%29+
+t+=+26.2%2F4+
+t+=+6.55+ sec
-------------------------------
check answer:
Here's the plot:
+graph%28+500%2C+500%2C+-2%2C+10%2C+-30%2C+300%2C+-16x%5E2+%2B+128x+%29+
It's hard to see, but I think
my answers are close