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**Unformatted text preview: **x 2 and x 3 (that is, when the particle is at x m = ( x 2 + x 3 ) / 2 = 36 cm). Therefore, x m = 9 . 75 + 1 . 5 t 3 m = ⇒ t m = 2 . 596 in seconds. Thus, the instantaneous speed at this time is v = 4 . 5(2 . 596) 2 = 30 . 3 cm/s. (f) The answer to part (a) is given by the slope of the straight line between t = 2 and t = 3 in this x-vs-t plot. The an-swers to parts (b), (c), (d) and (e) correspond to the slopes of tangent lines (not shown but easily imag-ined) to the curve at the appropriate points. (cm) x (a) 20 40 60 2 3 t...

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