The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 1 2 3 4 5 s (feet) 4.9 10.6 23.1 50.2 109.4 238.3 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.8 ft/s (ii) [3, 4] 27.1 ft/s (iii) [4, 5] 59.2 ft/s (iv) [4, 6] 94.05 ft/s (b) Use the 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.) ft/s

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The table shows the position of a motorcyclist after accelerating from rest.
t (seconds)
1
2
3
4
5
s (feet)
4.9
10.6
23.1
50.2
109.4
238.3
(a) Find the average velocity (in ft/s) for each time period.
(i)
[2, 4]
19.8
ft/s
(ii)
[3, 4]
27.1
ft/s
(iii) [4, 5]
59.2
ft/s
(iv) [4, 6]
94.05
ft/s
(b) Use the 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.)
ft/s
Transcribed Image Text:The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 1 2 3 4 5 s (feet) 4.9 10.6 23.1 50.2 109.4 238.3 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.8 ft/s (ii) [3, 4] 27.1 ft/s (iii) [4, 5] 59.2 ft/s (iv) [4, 6] 94.05 ft/s (b) Use the 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.) ft/s
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