Question: nasa is modeling the 1d straight line motion of a...

NASA is modeling the 1-D straight line motion of a rocket sled which will start at rest and provide a constant acceleration of a = 200 m/s² for a time of 3 seconds. They want construct a simple, but accurate, data table with the following equations: v_i+1 = v_i + a t and x_i+1 = x_i + v_i t which are familiar to you. NASA plans to make the constant time interval between rows in their table sufficiently small so that they have only a 3 percent error in the total distance traveled by the sled during the 3 seconds. How many rows N should be in their data table to cover the entire time interval and achieve the desired error?