Algebra

6. Jason tried cliff-diving in St. Thomas while vacationing with his family. His height as a function of time could be modeled by the
function h(t) = -16t2 + 16t + 480, where t is the time in seconds and h is the
height in feet.

a) How long did it take for Jason to reach his maximum height?



b) What was the highest point that Jason reached?

for this one i got (-1/2,476)

c) Jason hit the water after how many seconds?

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asked by Ella
  1. a) the max is on the axis of symmetry ... t = -b / 2a = -16 / (2 * -16)

    b) plug result from a) into the equation to find h

    c) he hits the water when h=0 ... 0 = -16t2 + 16t + 480
    ... use quadratic formula to find t

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    posted by scott

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