You have a one-dimensional position-time graph for an object defined by the foll

Question

You have a one-dimensional position-time graph for an object defined by the following coordinates in the format (time, position): (0, 10), (3, 5), (4, 1), (6, 0), (7, 5), (10, 5). The values for the position are in meters and the time in seconds. Assuming that the transitions between these coordinates occur linearly, answer the following questions.

(a) What is the total displacement over the entire interval? m
(b) What is the average velocity from time t = 0 to time t = 8? m/s
(c) Name the first time where the instantaneous velocity equals the average velocity over the entire interval. s (Please provide explanation for part c)

Explanation / Answer

a) -5 m b) aveg velocity = -0.5 m/s c) (4,1) (6,0) instatneou velocity = 0-1 /6-4 = -0.5 m/s

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