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  3. 2). a particle moving on the x-axis has a time-dep

2). A particle moving on the x-axis has a time-dependent position (t) given by the equation...

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Physics

2). A particle moving on the x-axis has a time-dependentposition (t) given by the equation x (t) = ct - bt^3. Where theunits of x are meters (m) and time t in seconds (s). (Hint: youmust get derivatives, you need graph paper)
(a) So that the position in x has units of meter which are theunits of the constants c and b?
If c = 5 and b = 1. From ti = 0s to tf = 3s.
(b) What is its displacement, Δx?
(c) Graph position x vs. time for the following time values; t= 0s, 0.2s, 0.4s, 0.6s, 0.8s, 1s, 1.2s, 1.4s, 1.6s.
(d) Graph velocity v vs. time for the following time values; t= 0s, 0.2s, 0.4s, 0.6s, 0.8s, 1s, 1.2s, 1.4s, 1.6s.
(e) Describe the movement of this particle; using thefollowing language how your position changes, how your speedchanges and how your acceleration changes for the graphs ofquestion (c) and (d).

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