Time Displacement (m) Instantaneous Velocity at the end of Instantaneous acceleration 0 1 1 4 2 13 3 28 4 49 5 76 6 109 7 148 8 193 9 244 10 301 11 364 12 433 13 508 14 625 15 901 With the data given aboven above, 1. Plot displacement on the vertical axis versus time on the horizontal axis. What is the shape of the graph. ( 20%) 2. Obtain the formula describing the graph. To obtain the formula assume that bold italic d bold space bold equals bold space bold italic a bold italic t to the power of bold n bold space bold plus bold space bold italic k (20%) Then find the value of k when t = 0. Next use the value of d and k to find a when t = 1. Next use the valu of a, k to find the value of when t = any value. The having known the values of a, and k write down the formula. 3. To find the instantaneous velocity first determine the displacement made between two successive time intervals and divide the displacement change by the time interval to obtain the instantaneous interval