Math Help, Parabolas?
The flight of an aircraft from Toronto to Montreal can be modelled by the relation
h = -2.5t(squared) + 200t
where t is the time, in minutes, and h is the height, in metres.
a) How long does it take to fly from Toronto to Montreal?
b) What is the maximum heigh of the aircraft? At what time does the aircraft reach this height?
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a) By setting h = 0, you can solve for t. There will be two solutions one is when the aircraft at taking off (on the ground) and the other when it lands, also on the ground (that's why h = 0).
0 = -2.5t^2 + 200t
0 = (-2.5t + 200) t
t = 0 and t = 80 minutes or 1 hour 20 minutes
b) Maximum height is y coordinate of the vertex. First find the x coordinate by using -b/2a then substitute into the equation to calculate y. That's your answer.
Sorry I have to run. I'm sure you can finish the problem yourself. Good luck!