The position function x(t) of a particle moving along an x
Chapter , Problem 16(choose chapter or problem)
The position function x(t) of a particle moving along an x axis is \(x=4.0-6.0 t^{2}\), 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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