# The table shows the position of a cyclist.

t (seconds) 0 1 2 3 4 5
s (meters) 0 1.4 5.4 10.8 17.4 24.6
(a) Find the average velocity for each time period.
(i) [1, 3]

4.45

m/s

(ii) [2, 3]

5.5

m/s

(iii) [3, 5]

-7.2

m/s

(iv) [3, 4]

-3.5

m/s

(b) Estimate the instantaneous velocity when t = 3.

6.25

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1. 10.8/3 = 3.6
(10.8-5.4)/1 = 5.4
(24.6-10.8)/2 = 6.9
(17.4-10.8)/1 = 6.6
(17.4-5.4)/2 = 6

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