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A particle moves along a straight line, \( x \). At time \( t=0 \), its position is at \( x=0 \). The velocity, \( \mathrm{V} \), of the
\( \mathrm{P} \) object changes as a function of time \( t \), as indicated in the figure; \( t \) is in seconds, \( \mathrm{V} \) in \( \mathrm{m} / \mathrm{sec} \) and \( x \) in meters
W.
(a) What is \( x \) at \( t=3 \mathrm{sec} \) ?
(b) What is the instantaneous acceleration (in \( \mathrm{m} / \mathrm{sec}^{2} \) ) at \( t=2 \mathrm{sec} \) ?
(c) What is the average velocity (in \( \mathrm{m} / \mathrm{sec} \) ) between \( t=0 \) and \( t=3 \mathrm{sec} \) ?
(d) What is the average speed (in \( \mathrm{m} / \mathrm{sec} \) ) between \( t=1 \) and \( t=3 \mathrm{sec} \) ?
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