A toboggan and rider, having a total mass M, enter horizontally tangent to a circular curve (θ₁) with a velocity v_A. If the track is flat and banked at angle θ₂, determine the speed v_B and the angle θ of “descent”, measured from the horizontal in a vertical x–z plane, at which the toboggan exists at B. Neglect friction in the calculation. Given:

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M = 150 kg TA = 60 m 0₁ = 90 deg rB = 57 m km VA = 70 hr r = 55 m 02 = 60 deg