Question

Figure A.3 shows the velocity-displacement curve for an object moving along a straight line. At which of the points marked is the object speeding up?

• A. $1$
• B. $2$
• C. $1and3$
• D. $1,2,and3$

Answer 1

The correct option is A $1$

From velocity $-$ displacement graph,

acceleration is given by, $a=v.\frac{dv}{ds}$

$\therefore$ at $1\Rightarrow \frac{dv}{ds}>0\Rightarrow$ speeding up.

at $2\Rightarrow \frac{dv}{ds}=0\Rightarrow$ constant velocity motion.

at $3\Rightarrow \frac{dv}{ds}<0\Rightarrow$ retardation.