Make sure you have worked the following problems: problem 1. a ball moves along a 1d coordinate system with the following motion parameters at time t = 0 s: x0 = 0 m and vo = 0 m/s. the ball has a constant acceleration of 2 m/s2 during the entire motion which occurs over a time of 1 s assume that an error in position of 10% is acceptable in this application over the entire motion. a. how many rows in the table will be needed to model the entire motion to within 10% of the correct (ideal) position value (even though you are leaving out the final term above of 1/2 a (at? n b. what will the time interva1δt be for this table? · c. construct the actual data table showing specific values for time, velocity, and position to model the motion described above. d. demonstrate that your table comes within 10% of the ideal position values. explain the effect of increasing and decreasing the size δt problem 2. a ball moves along a 1d coordinate system with the following motion parameters at time t 0s: xo 0 m and vo-5 m/s. the ball has a constant acceleration of 3 m/s2 during the entire motion which occurs over a time of 3 s assume that an error in position of 3% is acceptable in this application over the entire motion. a. how many rows in the table will be needed to model the entire motion to within 3% of the correct (ideal) position valuc teven though you are leaving out the final term above of 1/2 a (at 2)? n- b. whatwill thetime interval△t be for this table? δt a-ti c. construct the actuat data table showing specifc values for time, velocity, and position to model the motion described above d demonstrate that your table comes within: 3% of the ideal position values. explain the effect t increasing and decreasing the size δt us