SOLUTION: A stone is projected vertically upward from a platform that is 15 feet high at a rate of 106 ft per second. When will it reach its maximum height?

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Question 814078: A stone is projected vertically upward from a platform that is 15 feet high at a rate of 106 ft per second. When will it reach its maximum height?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
h(t)=-16t^2+106t+15
parabola
focus | (53/16, 12195/64)~~(3.3125, 190.547)
vertex | (53/16, 3049/16)~~(3.3125, 190.563)
semi-axis length | 1/64 = 0.015625
focal parameter | 1/32 = 0.03125
eccentricity | 1
directrix | h = 12197/64

vertex | (53/16, 3049/16)~~(3.3125, 190.563)
at t= 53/16 (3.3125) it reaches 3049/16 (190.563)