SOLUTION: A projectile is launched straight up from the ground with an initial velocity of 600 ft/sec. what is the maximum height of the projectile?

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Question 1094041: A projectile is launched straight up from the ground with an initial velocity of 600 ft/sec. what is the maximum height of the projectile?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h%28t%29+=+-16t%5E2+%2B+600t+
The formula for the t-coordinate of
the maximum +h%28t%29+ is:
+t%5Bmax%5D+=+-b%2F%282a%29+
+a+=+-16+
+b+=+600+
+t%5Bmax%5D+=+-600%2F%282%2A%28-16%29+%29+
+t%5Bmax%5D+=+18.75+ sec
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Put this result back into equation
+h%28t%29+=+-16%2A%28+18.75+%29%5E2+%2B+600%2A%28+18.75+%29+
+h%28t%29+=+-5625+%2B+11250+
+h%28+18.75+%29+=+5625+
5,625 ft is the maximum height
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check the math