SOLUTION: A projectile is launched upward with a velocity of 160 feet per second from the top of a 70-foot platform. What is the maximum height attained by the projectile?

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Question 1066433: A projectile is launched upward with a velocity of 160 feet per second from the top of a 70-foot platform. What is the maximum height attained by the projectile?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation would be:
+h%28t%29+=+-16t%5E2+%2B+160t+%2B+70+
This is a parabola with a peak ( not a dip )
The formula for the x-value of the peak is
+x%5Bp%5D+=+-b%2F%282a%29+
+x%5Bp%5D+=+-160%2F%28+2%2A%28-16%29+%29+
+x%5Bp%5D+=+160%2F32+
+x%5Bp%5D+=+5+
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Plug this value back into equation to get +h%5Bp%5D+
+h%5Bp%5D+=+-16%2A5%5E2+%2B+160%2A5+%2B+70+
+h%5Bp%5D+=+-16%2A25+%2B+800+%2B+70+
+h%5Bp%5D+=+-400+%2B+800+%2B+70+
+h%5Bp%5D+=+470+
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The maximum height is 470 ft
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check:
Here's the plot:
+graph%28+500%2C+500%2C+-2%2C+12%2C+-60%2C+600%2C+-16x%5E2+%2B+160x+%2B+70+%29+