The table shows the position of a cyclist. t (seconds) 0 1 3 4 s (meters) 0 1.5 5.7 10.4 17.6 25.1 (a) Find the average speed for each time period. (i) [1, 3] m/s (ii) [2, 3] m/s (iii) [3, 5] m/s (iv) [3, 4] m/s (b) Estimate the speed when t = 3 by measuring the slope of a tangent to the graph of s. (Round your answer to one decimal place.) m/s

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Ch 2.3 #26 Can you help me with this?
The table shows the position of a cyclist.
t (seconds) 0
1
2
3
4
s (meters) 0 1.5 5.7 10.4 17.6 25.1
(a) Find the average speed for each time period.
(i)
[1, 3]
m/s
(ii) [2, 3]
m/s
(iii) [3, 5]
m/s
(iv) [3, 4]
m/s
(b) Estimate the speed when t = 3 by measuring the slope of a tangent to the graph of s. (Round your answer to one decimal place.)
m/s
Transcribed Image Text:The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 s (meters) 0 1.5 5.7 10.4 17.6 25.1 (a) Find the average speed for each time period. (i) [1, 3] m/s (ii) [2, 3] m/s (iii) [3, 5] m/s (iv) [3, 4] m/s (b) Estimate the speed when t = 3 by measuring the slope of a tangent to the graph of s. (Round your answer to one decimal place.) m/s
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