Question

An airplane passes directly over a radar station at time t = 0. The plane maintains an altitude of 4 km and is flying at 600 km/h. Let d represent the distance from the radar station to thea speed of plane, and-let s represent the horizontal distance travelled by the plane since it passed over the radar station.

Create a function for the distance from the radar station to the plane, in terms of horizontal distance traveled by the plane since it passed over the radar station. Create a function for the horizontal distance traveled by the plane-since it passed over the radar station in terms of time, t, in seconds. Use composition to express the distance between the plane and theradar station as a function of time. {Use the functions you created inparts a) and b) }. Determine the distance in metres between the plane and the radar-station 10 seconds after since it passed over the radar station using the-function in part c).

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