A child is sliding down a snow-covered, approximately frictionless slope that makes an angle of 30? to the horizontal. At the bottom of the slope, she continues to slide for a while on rougher flat ground, which results in an acceleration opposite her direction of motion. She finally comes to a stop 5 m away from the bottom of the hill. 2
(a) If it takes her 2 s to slide down the hill (starting from rest), how far from the bottom (measured along the slope) did she start?
(b) How fast is she going when she reaches the bottom of the slope?
(c) What is her acceleration as she slides to a stop on the flat ground at the bottom of the slope?