Question

17.8 Exercises 17.1 A ball is thrown upward. The data below give its height y above the ground in meters at time t in seconds. Estimate values for the average velocity on the intervals [0, 1], [2, 3], and [4, 5]. to 1 2 3 4 5 2 30 47 54 50 35 17.2 A table of data is given below. Estimate values for the average rate of change of y at each of the x-values given (except x = 0.0 and x = 1.0). Use the average of two difference quotients for each estimate. Where is the rate of change negative? Where is the rate of change the greatest? x 1 y 0.0 17 0.1 13 0.2 11 0.3 9 0.4 6 0.5 11 0.6 15 0.7 27 0.8 30 0.9 22 1.0 19 17.3 In [56], Reis et al. used slow-motion videos to collect time-series data on the vertical position of a cat's tongue as it drank water in an effort to better understand the kinemat- ics (i.e., motion of a cat's tongue while it laps up water. Reis et al. collected time-series

Answer 1

(1761) let the 'y' be height of object thrown opward from the ground in medero (&,'t in time in Seconds The Ang relocity of time intervale on [0, 1], [2, 3] 14, 5J Curen that, 3456 t->0,11,12,13,14,15 . Yz-yi 10-2 - The Average velocity in consider al Product of distance travelled by the object (fy time taker. to reach the object to the final state. ů [0, 1] - to, ti -) Aug relocity = 32 - to Ő (1,33 »» tz, ts: Arq.relocity a "** - 7 m/s 25 = 28 m/s 3-2 18 (1) [4, 5] => ty, its -18 -15MIA locity a 1 45- fu yu 35-50 = 35-0 2 274 tsty 10, 1] -> (28 m/s) ? (2,33 -> (7 m/s) , Ava velocities for the respective Pointa. CS Scanned with (415) -> (-15m/s) J. CamScanner