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A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum hieght
A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum hieght
For this case we have the following equation:h = -16t ^ 2 + 184t + 20Deriving we have:h '= -32t + 184We equal zero and clear t:-32t + 184 = 032t = 184t = 184/32t = 5.75 sThen, the maximum height is given by:h (5.75) = -16 * (5.75) ^ 2 + 184 * (5.75) + 20h (5.75) = 549 feetAnswer:It takes the boulder to reach its maximum height about:t = 5.75 sthe boulder's maximum hieght is:h (5.75) = 549 feet...
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