Question
The graphs in the accompanying figure show the position $s$ ,velocity $v=d s / d t,$ and acceleration $a=d^{2} s / d t^{2}$ of a body mov-ing along a coordinate line as functions of time $t .$ Which graph iswhich? Give reasons for your answers.
Step 1
Velocity is the derivative of the position function with respect to time, and acceleration is the derivative of the velocity function with respect to time. Show more…
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The graphs in the accompanying figure show the position $s,$ the velocity $v=d s / d t,$ and the acceleration $a=d^{2} s / d t^{2}$ of a body moving along the coordinate line as functions of time $t .$ Which graph is which? Give reasons for your answers.
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The graphs in the accompanying figure show the position $s$ , the velocity $v=d s / d t,$ and the acceleration $a=d^{2} s / d t^{2}$ of a body moving along a coordinate line as functions of time $t .$ Which graph is which? Give reasons for your answers.
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The graphs in the accompanying figure show the position $s$ velocity $v=d s / d t,$ and acceleration $a=d^{2} s / d t^{2}$ of a body moving along a coordinate line as functions of time $t .$ Which graph is which? Give reasons for your answers. (FIGURE CAN'T COPY)
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