Question

The velocity $-$ time graph of a body moving in a straight line is shown in the figure.The displacement and distance travelled by the body in $6$ sec are respectively.

• A. $16m,16m$
• B. $16m,8m$
• C. $8m,16m$
• D. $8m,8m$

Answer 1

The correct option is C $8m,16m$

Displacement $=$ Summation of all the areas with sign

$=\left(A_1\right)+(-A_2)+\left(A_3\right)$

$=(2\times 4)+(-2\times 2)+(2\times 2)$

$=8m$

Distance $=$ Summation of all the areas without sign

$=\left|A_1\right|+|-A_2|+\left|A_3\right|=\left|8\right|+|-4|+\left|4\right|$

$=8+4+4$

Distance $=16m$

Final answer: (a)