Please solve in python code! Thanks! A plane flying horizontally with a speed of 300 km/hr passes over a ground radar station at an altitude of 10 km. At time t = 0, the plane is 100 km away (and moving toward the radar station-see figure below). Let θ be the angle of elevation from the radar station to the plane. (a) If t is time in minutes, find an expression for θ1(t) (valid on the domain t ∈ [0, 20]) and θ2(t) (valid on the domain t ∈ (20, ∞)). Print both functions and their derivatives. (b) Convert into degrees and plot θ1 in the domain t ∈ [0, 20] and θ2 in the domain t ∈ [20, 60] (on the same graph) (c) Plot both derivatives in a separate graph using the corresponding domains from part (b) and a range of θ ∈ [0, 10].

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List)
1st Edition
ISBN:9781305657458
Author:Misty E. Vermaat, Susan L. Sebok, Steven M. Freund, Mark Frydenberg, Jennifer T. Campbell
Publisher:Misty E. Vermaat, Susan L. Sebok, Steven M. Freund, Mark Frydenberg, Jennifer T. Campbell
Chapter1: Introducing Today's Technologies: Computers, Devices, And The Web
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Please solve in python code! Thanks! A plane flying horizontally with a speed of 300 km/hr passes over a ground radar station at an altitude of 10 km. At time t = 0, the plane is 100 km away (and moving toward the radar station-see figure below). Let θ be the angle of elevation from the radar station to the plane. (a) If t is time in minutes, find an expression for θ1(t) (valid on the domain t ∈ [0, 20]) and θ2(t) (valid on the domain t ∈ (20, ∞)). Print both functions and their derivatives. (b) Convert into degrees and plot θ1 in the domain t ∈ [0, 20] and θ2 in the domain t ∈ [20, 60] (on the same graph) (c) Plot both derivatives in a separate graph using the corresponding domains from part (b) and a range of θ ∈ [0, 10].
Airplane
Transcribed Image Text:Airplane
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