Question 311345: Need to find the equations for x in this word problem. Thanks!
A projectile is launched vertically upward with an initial speed of 256 ft/sec. The equation for its vertical distance from the ground is h = 256t – 16t^2, where t is time in seconds. Find the projectile’s maximum height and the total time that it is in the air.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! Remember that an object in upward flight is slowed by gravity at a rate of -32 ft/s/s...
Thus if an object has an initial upward velocity of 256 ft/s, it reaches a speed of zero after 8 seconds. (256 - 8(32) = 0)
Now, knowing this, we can plug t = 8 into the height function and get
h = 256t – 16t^2
h = 256(8) - 16(8^2)
h = 2048 - 1024
h = 1024 feet
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