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Name some natural phenomena that could serve as time standards ? n

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4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 2 1 777749 -24 -4 -5 3 4 8 9 time 10 (Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the rabbit is heading west.) (a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it should accurately show whether the graph is increasing or decreasing and whether it is concave up or concave down. (b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch the squirrel's position as a…
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