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  • The velocity - displacement graph describing the motion of a bicycle is shown in the figure. The acceleration - displacement graph of

The velocity - displacement graph describing the motion of a bicycle is shown in the figure. The acceleration - displacement graph of the bicycle's motion is best described by :  
Option: 1
Option: 2
Option: 3
Option: 4

Answers (1)

best_answer

\begin{aligned} &\text { For } 0 \leq \mathrm{x} \leq 200\\ &\mathrm{v}=\mathrm{mx}+\mathrm{C}\\ &\mathrm{v}=\frac{1}{5} \mathrm{x}+10\\ &\mathrm{a}=\frac{\mathrm{vdv}}{\mathrm{dx}}=\left(\frac{\mathrm{x}}{5}+10\right)\left(\frac{1}{5}\right)\\ &\mathrm{a}=\frac{\mathrm{x}}{25}+2 \Rightarrow \text { Straight line till } \mathrm{x}=200 \end{aligned}

\begin{array}{l} \text { for } x>200 \\ v=\text { constant } \\ \Rightarrow a=0 \end{array}

So the correct graph is

 

Posted by

avinash.dongre

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