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The position function x(t) of a particle moving along an x axis is x = 4.0 − 6.0t2, with x in meters and t in seconds. (a) At what time and (b) where does the particle (momentarily) stop? At what (c) negative time and (d) positive time does the particle pass through the origin? (e) Graph x versus t for the range −5 s to +5 s. (f) To shift the curve rightward on the graph, should we include the term +20t or the term −20t in x(t)? (g) Does that inclusion increase or decrease the value of x at which the particle momentarily stops?
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