In 2004, the highest space plane flight was made by Brian Binnie in Space Sip One. A flight with this altitude can be modeled by the function h = -0.17t^2 + 187t + 61000, where h is the altitude in meters and t is flight time in seconds. What was the highest altitude reached by the space plane?

h = 11242 km

Step-by-step explanation:

A flight with this altitude can be modeled by the function :

....(1)

Where h is the altitude in meters and t is flight time in seconds.

We need to find the highest altitude reached by the space plane.

Put

So,

At t = 550 seconds the space plane reaches the highest altitude.

Put t = 550 s in equation (1).

Hence, the highest altitude reaches by the space plane is 11242 km.

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