SOLUTION: Liz drops a marble from the top of a cliff 96 feet off the ground. The height of the marble is described by the quadratic equation h = -16 t square + 96 where h is the height in

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Question 606570: Liz drops a marble from the top of a cliff 96 feet off the ground. The height
of the marble is described by the quadratic equation h = -16 t square + 96
where h is the height in feet and t is the time in seconds. Find the time t
when the marble hits the ground. Round to the nearest hundredth.
Thanks very much !

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Liz drops a marble from the top of a cliff 96 feet off the ground. The height
of the marble is described by the quadratic equation h = -16 t square + 96
where h is the height in feet and t is the time in seconds. Find the time t
when the marble hits the ground. Round to the nearest hundredth.
.
When the marble hits the ground, the height (h) is zero. So, set h to zero and solve for t:
+h+=+-16t%5E2+%2B+96+
+0+=+-16t%5E2+%2B+96+
dividing both sides by -16:
+0+=+t%5E2+-+6+
+6+=+t%5E2+
+sqrt%286%29+=+t+
+t+=+2.45+ seconds