2.1 Derivatives and Rates.. 2 14 The Tangent and Vel_. W Math 005A Imhoff (F22),- My Shelf | Brytewave eR._. v World of Ideas G Is your state, as you perc. The displacement (In feet) of a particle moving in a straight line is given by s = - t2 - St + 16, where t is measured In seconds. (a) Find the average velocity (in ft/s) over each time interval. (1) [4, 8] At/s (1) [6, 8] it/s (III) [8, 10] ft/s (iv) [8, 12] it/s (b) Find the instantaneous velocity (in ft/s) when t = 8. ft/s (c) Draw the graph of s as a function of t and draw the secant lines whose slopes are the average velocities in part (a). Then select the graph of s with the tangent line who instantaneous velocity in part (b). 40 10 10 5 5 30 5 10 15 5 10 -5 -5 -10 -10 10