Question
The graph given shows the velocity $v$ versus time $t$ for a body. Which of the following graphs shown represents the corresponding acceleration versus time graphs?(A)(B)(C)(D)
Step 1
Mathematically, it is given by the derivative of the velocity-time graph. Show more…
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Which of the acceleration vs time graphs below correspond to the velocity vs time graph shown above?
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.
Differentiation
The Derivative as a Rate of Change
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 is which? Give reasons for your answers.
Derivatives
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