T 2 lim t 2 51 t 16 t 2 51 22 16 2 2 t 2 lim t 2 51 t

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t 2 = lim t 2 51 t − 16 t 2 51 22 − 16( 2 ) 2 t 2 = lim t 2 51 t − 16 t 2 − 338 t 2 . Part 2 of 3 Factoring the numerator, we have
v ( 2 ) = lim t 2 ( 51 t − 16 t 2 ) − 38 t 2 = lim t 2 −16 t + 419 t − 52 t 2 . Part 3 of 3 Canceling common factors and evaluating the limit, we can finally conclude that the velocity of the ball at t = 2 is as follows. v ( 2 ) = lim t 2 (−16 t + 19 )( t 2 ) t 2 = lim t 2 [−16 t + 19 ] = −16 62
+ 19 = 7-13 You have now completed the Master It. 0 Viewing Saved Work Revert to Last Response 2. 5/5 points | Previous Answers SCalcET7 2.7.016. My Notes Question Part Points Submissions Used 1 2 3 4 5 1/1 1/1 1/1 1/1 1/1 2/5 1/5 1/5 1/5 3/5 Total 5/5 The displacement (in meters) of a particle moving in a straight line is given by s = t 2 7 t + 17 , where measured in seconds. (a) Find the average velocity over each time interval. t is (i) [3, 4] 10 m/s (ii) [3.5, 4] 20.5 m/s (iii) [4, 5] 32 m/s Practice Another Version
(iv) [4, 4.5] 41.5 m/s (b) Find the instantaneous velocity when t = 4. 51 m/s 0 Viewing Saved Work Revert to Last Response 3. 3/3 points | Previous Answers SCalcET7 2.7.027. My Notes Question Part Points Submissions Used 1 3/3 1/5 Total 3/3 Find f ' ( a ). f ( x ) = 2 x 2 3 x + 4 f ' ( a ) = \$\$4· a −3 0 Viewing Saved Work Revert to Last Response 4. 3/3 points | Previous Answers SCalcET7 2.7.035. My Notes Question Part Practice Another Version Practice Another Version
Points Submissions Used 1 3/3 1/3 a . 2 2 x , a = 2
Viewing Saved Work Revert to Last Response 5. 3/3 points | Previous Answers SCalcET7 2.7.050. My Notes Question Part Points Submissions Used 1 2 3 1/1 1/1 1/1 1/3 1/3 1/1 Total 3/3 Practice Another Version
The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of dollars per pound is Q = f ( p (a) What is the meaning of the derivative f ' ( 9 )? p ).
What are the units of f ' ( 9 )?
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