Worksheet #2. Fall 2017 NAME: 1. A particle is moving along the r axis, with : being time in seconds. At t = 1 it has position r = 1 meter and velocity 3 m/a. It undergoes non-constant acceleration -1/t. Solve for the particle's position as a function of time. 2. Use left endpoint approximation to approximation the area under the curve y = r3 over the interval [1, 3] a) for n = 4O P Enter b) for arbitrary n- this will be an abstract formula, not a number c) Letting n go to infinity, compute the exact area