SOLUTION: A rocket is launched straight up from the ground with an initial velocity of 96 feet per second. Find the maximum height of the rocket

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Question 981162: A rocket is launched straight up from the ground with an initial velocity of 96 feet per second. Find the maximum height of the rocket
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A rocket is launched straight up from the ground with an initial velocity of 96 feet per second. Find the maximum height of the rocket
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If it's a rocket, the thrust of its engine(s), the mass, and the amount of fuel determine its max height.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula would be:
+h%28t%29+=+-16t%5E2+%2B+96t+
The maximum height is where:
+t%5Bmax%5D+=+%28-b%29%2F%282a%29+
+t%5Bmax%5D+=+%28-96%29%2F%282%2A%28-16%29%29+
+t%5Bmax%5D+=+3+
Plug this value of +t+ back into equation
+h%283%29+=+-16%2A3%5E2+%2B+96%2A3+
+h%283%29+=+-144+%2B+288+
+h%283%29+=+144+
The maximum height is 144 ft
Here's the plot of h & t
+graph%28+400%2C+400%2C+-1%2C+8%2C+-20%2C+200%2C+-16x%5E2+%2B+96x+%29+