Question: How do I go about this? T 14. Average velocity The position of an object moving vertically T 18. Instantaneous velocity Consider the position function
How do I go about this?


T 14. Average velocity The position of an object moving vertically T 18. Instantaneous velocity Consider the position function along a line is given by the function s(1) = -4.912 + 30t + 20. s(1) = -4.912 + 301 + 20 (Exercise 14). Complete the following Find the average velocity of the object over the following table with the appropriate average velocities. Then make a conjec- intervals. ture about the value of the instantaneous velocity at 1 = 2 a. [0, 3] b. [0, 2] c. [0, 1] Time 1 [2, 2.5] [2, 2.1] [2, 2.01] [2, 2.001] d. [0, h], where h > 0 is a real number interval T 21-24. Instantaneous velocity For the following position functions, Average elocity make a table of average velocities similar to those in Exercises 19-20 and make a conjecture about the instantaneous velocity at the indicated time. 34. The Heaviside function The Heaviside function is used in engi- neering applications to model flipping a switch. It is defined as 21. s(1) = -1612 + 801 + 60 at 1 = 3 22. s(1) = 20 cos t att = /2 H (x ) = So ifx
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