# 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

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 Click here to see ALL problems on Linear Equations And Systems Word Problems 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)   (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