1. The position of a particle movving along the x-axis depends on the time accor

Question

1. The position of a particle movving along the x-axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maaximum posiitive x position? From t = 0.0 s to t = 4.0 s, (d) What distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (l) 3.0 s, and (m) 4.0 s

Explanation / Answer

a, b)Units of constants

Since x is in meters and t in seconds,

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