Question number 35

[T] For the following position functions y = s(t), an object is moving along a straight line, where t is in seconds and s is in meters. Find a. the simplified expression for the average velocity from t = 2 to t = 2 + h; b. the average velocity between t = 2 and t = 2+h, where (i) h = 0.1, (ii) h = 0.01, (iii) h = 0.001, and (iv) h = 0.0001; and C. use the answer from a. to estimate the instantaneous230 velocity at t = 2 second. 35. s(t) = =t+ 5 36. s(t) = 12 - 2t 37. s(t) = 2+3 + 3 38. s(t) = 16 _ 4 39. Use the following graph to evaluate f' (6). 6 4 2 -8 -6 -4 2 4