Question

The position versus time graph below represents the motion of an object.

Which one of the four graphs below best represents the velocity versus time graph for this object?

• A.
  
• B.
  
• C.
• D.

Answer 1

The correct option is C

Slope of x-t graph is velocity.
For the AB part of the graph, slope $=0$ (at rest), so $v=0$.

For the BC part of the graph, slope is $-ve$ (moving in $–x$ direction) so, v is $–ve$.

For the CD part of the graph, slope $=0$ (again at rest), so $v=0$.

For the DE part of the graph, slope is +ve (moving in $+x$ direction), so v is $+ve$.

Hence, the following velocity-time graph is correct.