A ball is hurled upward from the top of a building. Its height at time t (in seconds) can be described by the function H(t)=-16t2+64t+120. If the maximum height of the ball is 150 feet, how many seconds did it take for the ball to reach its maximum height?

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A ball is hurled upward from the top of a building. Its height at time t (in seconds) can be described by the function <em>H(t)=-16t<sup>2</sup>+64t+120</em>. If the maximum height of the ball is 150 feet, how many seconds did it take for the ball to reach its maximum height?