Question

The velocity -time graph of a body is shown in following graph/ Find the displacement of the body is $8s$.

• A. $9m$
• B. $12m$
• C. $10m$
• D. $28m$

Answer 1

Answer: (C)

$10m$

Displacement in V-T curve = Area under X-t curve with sign.
Area of figure:
$=2\ast 2+\frac{1}{2}(2+6)\ast 1+\frac{1}{2}\ast 6\ast 1-\frac{1}{2}\ast 1\ast 6-6\ast 1+4\ast 2$
$=4+4-6+8=10$