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ure https://edugen.wileyplus.com/edugen/student/mainfr.uni S Hughes-Hallett, App

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Question

ure https://edugen.wileyplus.com/edugen/student/mainfr.uni S Hughes-Hallett, Applied Calculus, 5e Practice Assignment Gradebook ORION Question 10 The distance (in feet) of an object from a point is given by s(t) t where time t is in seconds. (a) what is the average velocity of the object between t-5 and t 7? The average velocity between t 5 and t 7 is (b) By using smaller and smaller intervals around S estimate the instantaneous velocity at time t- 5. Round your answer to the nearest integer. The instantaneous velocity at t- 5 is about Click if you would like to show work for this question Open Show work 2000-201Zlobn Moley & Sons, unc, Rights Reserved.

Explanation / Answer

1 s(t) = t^2

a) Average velocity = (7^2 - 5^2 )/7-5 = 49 - 25 / 2 = 24/ 2 = 12

b) v(t) = ds(t)/dt = 2t

instantaneous velocity = 2*5 = 10 ft/sec

2)