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2.Motion in Straight Line
easy
A particle starts from the origin at time $t = 0$ and moves along the positive $x-$ axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5\,s$ ?.........$m$
A
$10$
B
$6$
C
$3$
D
$9$
(JEE MAIN-2019)
Solution
$\begin{array}{l}
{r_{t = 5}} = area\\
\,\,\,\,\,\,\,\, = \,\left( {\frac{1}{2} \times 2 \times 2 + 2 \times 2 + 3 \times 1} \right)m\\
\,\,\,\,\,\,\,\, = \left( {2 + 4 + 3} \right)\,m\\
\,\,\,\,\,\,\,\, = 9\,m.
\end{array}$
Standard 11
Physics
