A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity 17 m/s, its height in meters t seconds later is given by y = 17t - 1.86tz. (a) Find the average velocity (in m/s) over the given time intervals. (i) [1, 2] (ii) [1, 1.5] (iii) [1, 1.1] (iv) [1, 1.01] (v) [1, 1.001] (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t = 1.Recall that the average speed between times &, and &, is calculated using the following. Vavg = v (t 2 ) - y (t , ) t2 - t1 We are given that y = 17t - 1.860 . Evaluating at t = 1, we have y(1) = 17(1) - 1.86(1)2 = 15.14. Thus, the average speed between times 1 and 1 + h is as follows. y(1 + h) - y(1) Vava = (1 + h) - 1 17 (1 + h) - 1.86(1 + h)2 - 15.14 = h 13.28h h h, h =0