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The table shows the position of a cyclist. Find avg velocity?

t (seconds) 0 1…… 2 …… 3…… 4…… 5 s (meters) 0 (1.5) (4.9) (10.4) (17.4) (24.8) (a) Find the average velocity 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 instantaneous velocity when t = 3. ???? m/s

2 Answers

A
Abbie Toy

Feb 20, 2025

Find the average velocity by using the secant slope form… For instance..1ai) (f(3) – f(1))/2= (10.4 – 1.5)/2= 4.451aii) (f(3) – f(2))/(3 – 2)= 10.4 – 4.9= 5.5You try the last two parts for 1a) by yourself…1b) Take points at t = 2 and t = 4 and apply the secant slope form. You should get…m(3) ≈ (f(4) – f(2))/2= (17.4 – 4.9)/2= 12.5/2= 6.25Good luck!... Show More
A
Abbie Toy

Feb 20, 2025

known velocity is purely the slope of a line between 2 factors. delta s / delta t. or (y2 – y1)/(x2 – x1). for 3 seconds, you’re staring at (a hundred and ten – 34) / (5 – 2) , which equals 29.3 infinitely repeating (29 and a million/3). i think of you could calculate the different 2 now which you keep in mind the thought. desire this facilitates.... Show More

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