What is the x-component of the velocity (in m/s) for

What is the x-component of the velocity (in m/s) for the object having the x(t) graph shown above?
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Timothy Wolff
Step 1
The slope of the position-time graph represents the velocity.
Refer the graph given the question.
The slope of the graph is,
$v=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
$=\frac{0.5m-1.0m}{5s-0s}$
$=-0.3\frac{m}{s}$
The velocity is $-0.3\frac{m}{s}$

kalupunangh
Step 1
The correct answer according to the answer key is $=0.3\frac{m}{s}.$
When taking the graphinto consideration we make the table values
$\begin{array}{|cc|}\hline \text{Position}& \text{Time}\\ 0.1& 6\\ 0.5& 5\\ 0.8& 4\\ 1.1& 3\\ 1.4& 2\\ 1.7& 1\\ 2& 0\\ \hline\end{array}$
Taking the velocity from the change in position and change in time we get it as
$\frac{dx}{dt}=\frac{2-1.7}{0-1}$
$=-0.3\frac{m}{s}$