Problem: Rolling Balls

    Ball A rolls along a frictionless, horizontal surface at a speed of 1.0 m/s. Ball B is released from rest at the top of a 2.0-m-long, 10° ramp at the exact instant ball A passes by. Will B overtake A before reaching the bottom of the ramp? If so, at what position? (Hint: Before doing the mathematics, it’s worth sketching position vs. time graphs for each ball and showing that you’re trying to find where the two graphs intersect.)