Questions: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 2 3 4 5 6 s (feet) 0 4.9 10.6 23.1 50.2 109.3 237.9 (a) Find the average velocity (in ft/s) for each time period. (i) [2,4] (ii) [3,4] (iii) [4,5] (iv) [4,6] (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t=3. (Round your answer to one decimal place.)
![The table shows the position of a motorcyclist after accelerating from rest.
t (seconds) 0 1 2 3 4 5 6
s (feet) 0 4.9 10.6 23.1 50.2 109.3 237.9
(a) Find the average velocity (in ft/s) for each time period.
(i) [2,4]
(ii) [3,4]
(iii) [4,5]
(iv) [4,6]
(b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t=3. (Round your answer to one decimal place.)](https://thumbnail.justsolvely.com/seoQuestionThumb/9d249f54-ca0a-47c4-888d-a40c47506a6f.webp)
Transcript text: The table shows the position of a motorcyclist after accelerating from rest.
$t$ (seconds) | 0 | 1 | 2 | 3 | 4 | 5 | 6
$s$ (feet) | 0 | 4.9 | 10.6 | 23.1 | 50.2 | 109.3 | 237.9
(a) Find the average velocity (in ft/s) for each time period.
(i) $[2,4]$
(ii) $[3,4]$
(iii) $[4,5]$
(iv) $[4,6]$
(b) Plot the points in the table to create a graph of $s$ as a function of $t$ to estimate the instantaneous velocity (in ft/s) when $t=3$. (Round your answer to one decimal place.)
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