Question 311345
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