Acceleration-time graph is given. If initial velocity is 5,,m/s, then velocity after 2 second

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2.Motion in Straight Line

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Acceleration-time graph is given. If initial velocity is $5\,\,m/s,$ then velocity after $2$ $seconds$ is.......$m/s$

A

$10$

B

$15$

C

$20$

D

$0$

Solution

$\Delta v\,\,=\,\,$ area under $(a-t)$ graph

$\Rightarrow \,\,v\,-\,5\,\,=\,\,\frac {1}{2}\,\,\times \,\,10\,\,\times \,\,2\,\,\Rightarrow \,\,v\,=\,15\,\,m/s$

Standard 11

Physics

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