A car moves along a straight road with an initial speed and a constant acceleration…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A car moves along a straight road with an initial speed v=12.4 m s−1v = 12.4\,\text{m}\,\text{s}^{-1} and a constant acceleration a=2.15 m s−2a = 2.15\,\text{m}\,\text{s}^{-2} for a time interval t=4.80 st = 4.80\,\text{s}. The displacement covered is given by s=vt+12at2.s = v t + \tfrac{1}{2} a t^{2}. (a) Using the given data, calculate the displacement ss and express your answer to the correct number of significant figures with unit. (b) If the time were mistakenly rounded to 4.8 s before starting the calculation, determine the resulting displacement and find the percentage error introduced compared with the value in (a).

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