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2.Motion in Straight Line
medium
The velocity versus time graph of a body moving in a straight line is as shown in the figure below
AThe distance covered by the body in $0$ to $2 \,s$ is $8 \,m$
BThe acceleration of the body in $0$ to $2 \,s$ is $4 \,ms ^{-2}$
CThe acceleration of the body in $2$ to $3 \,s$ is $4 \,ms ^{-2}$
DThe distance moved by the body during $0$ to $3 \,s$ is $6 \,m$
Solution

Distance covered $=$ Area under $v-t$ graph $=\frac{1}{2} \times 3 \times 4=6 \,m$
Acceleration $\left.\right|_{t=0 \text { to } 2 s }=\frac{4-0}{2}=2 \,ms ^{-2}$
Standard 11
Physics