Question

Figure shows position versus time graph of two rabbits running opposite to each other between two trees. Which rabbit has greater magnitude of average velocity?

Answer 1

Given:

Figure shows position versus time graph of two rabbits running opposite to each other between two trees.

To find:

Which rabbit has higher average velocity ?

Calculation:

Average velocity is defined as the ratio of the total displacement to the total time taken to complete the displacement.

Now , avg. v = ∆x/∆t , so we can say that:

• The slope of the the displacement time graph gives us the instantaneous velocity.

• But when an object is moving in a single directions, average velocity is directly proportional to the instantaneous velocity of the object.

So, higher the slope (steep-ness) of curve , higher will be the average velocity for that rabbit.

Since the graph for rabbit B is steeper , hence it has higher average velocity than rabbit A.

$\star$ Hope It Helps.