SOLUTION: 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 dis

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 dis      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

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(2101) About Me  (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