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4) Consider a car traveling with speed  around a curve of radius r . a)...

4) Consider a car traveling with speed  around a curve of radius r . a) Derive an equation that best expresses the angle () at which a road should be banked so that no friction is required. b) If the speed signpost says 42 mile/h, and the angle of the bank is 18°, what is the radius (r) of the curve. (2 points)

You must show how tan is derived mathematically.

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