A90 cm radius roulette wheel initially turning at 3.0 rev/s slows with a uniform acceleration and stops after 26 rev, a) what was the angular acceleration b) what was the initial tangential speed of a point on the rim of the wheel? c) what was the initial tangential acceleration of the wheel d) what was the initial centripetal acceleration.

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. it then moves 137 ft at an angle of 48.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)