The roller coaster is traveling down along the spiral ramp with a constant speed v. If the track descends a distance h for every full revolution, determine the magnitude of the roller coaster’s acceleration as it moves along the track, r of radius. For part of the solution, note that the tangent to the ramp at any point is at an angle φ = tan-1(h/2πr) from the horizontal. Use this to determine the velocity components v_θ and v_z which in turn are used to determine θ and z. Given:

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m v = 6 - S m 10 m r = 5 m h = 10