Question

The table shows the position of a motorcyclist after accelerating from rest. Table can't copy (a) Find the average velocity for each time period: (i) $[2,4]$ (ii) $[3,4]$ (iii) $[4,5]$ (iv) $[4,6]$ (b) Use the graph of $s$ as a function of $t$ to estimate the instantaneous velocity when $t=3$.

   The table shows the position of a motorcyclist after accelerating from rest.
Table can't copy

(a) Find the average velocity for each time period:
(i) $[2,4]$
(ii) $[3,4]$
(iii) $[4,5]$
(iv) $[4,6]$
(b) Use the graph of $s$ as a function of $t$ to estimate the instantaneous velocity when $t=3$.
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Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 2, Problem 7 ↓
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The table shows the position of a motorcyclist after accelerating from rest. Table can't copy (a) Find the average velocity for each time period: (i) $[2,4]$ (ii) $[3,4]$ (iii) $[4,5]$ (iv) $[4,6]$ (b) Use the graph of $s$ as a function of $t$ to estimate the instantaneous velocity when $t=3$.
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The table shows the position of a motorcyclist after accelerating from rest. $$ \begin{array}{|l|c|c|c|c|c|c|c|} \hline t \text { (seconds) } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline s \text { (meters) } & 0 & 1.5 & 6.3 & 14.2 & 24.1 & 38.0 & 53.9 \\ \hline \end{array} $$ (a) Find the average velocity for each time period: (i) $[2,4]$ (ii) $[3,4]$ (iii) $[4,5]$ (iv) $[4,6]$ (b) Use the graph of $s$ as a function of $t$ to estimate the instantaneous velocity when $t=3$.

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The table shows the position of a motorcyclist after accelerating from rest. (a) Find the average velocity for each time period: (i) $ [2, 4] $ (ii) $ [3, 4] $ (iii) $ [4, 5] $ (iv) $ [4, 6] $ (b) Use the graph of $ s $ as a function of $ t $ to estimate the instantaneous velocity when $ t = 3 $.

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the-table-shows-the-position-of-a-motorcyclist-after-accelerating-from-rest-a-find-the-average-velocity-for-each-time-period-i-2-4-ii-3-4-iii-4-5-iv-4-6-b-use-the-graph-of-s-as-a-function-of-t-to-esti

The table shows the position of a motorcyclist after accelerating from rest. (a) Find the average velocity for each time period: (i) $ [2, 4] $ (ii) $ [3, 4] $ (iii) $ [4, 5] $ (iv) $ [4, 6] $ (b) Use the graph of $ s $ as a function of $ t $ to estimate the instantaneous velocity when $ t = 3 $.


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Transcript

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00:01 So the table shows the position of a motorcyclist accelerating from rest.
00:05 We want to find the average velocity for each time period.
00:08 So the average velocity is given by the function.
00:19 It's the average rate of the change of position.
00:21 So rate of change of position is going to be s of b minus s of a over b minus a.
00:30 So the v average from 2 to 4 is going to be s of 2 minus or s of 4 minus s of 2 over 4 minus 2.
00:43 So that's going to be 24 .1 minus 6 .3 over 2...
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