A package drops. The height of the package above the ground at any time is modeled by the function h(t)= 5t230x + 675, where h(t) is the height in meters, and t is the time in seconds. How long will it take the package to hit the ground? Please show your work and explain what you did because I want to learn it and not just copy. 0 = height at ground level
0 = 5t2 30t + 675 5t2 30t + 675 = 0 {just switched it around, no big deal} 5(t2+ 6t  135) = 0 {factor 5 out} 5(t + 15)(t  9) = 0 {factor into 2 binomials} t + 15 = 0 or t  9 = 0 {set each factor equal to 0} t = 15 or t = 9 {time cannot be negative} t = 9 seconds  Algebra House
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