To find the distance, displacement, and average velocity of a car traveling from point A to point B and back, we need to understand the concepts of distance, displacement, and velocity.



Distance: Distance is the total length covered by an object during its motion. It is a scalar quantity and is always positive.

Displacement: Displacement is the change in position of an object from its initial position to its final position. It is a vector quantity and can be positive, negative, or zero.

Velocity: Velocity is the rate of change of displacement with respect to time. It is a vector quantity and can be positive, negative, or zero.



- The car travels at a constant speed of 15 km/h from point A to point B.
- The car travels at a constant speed of 40 km/h on the return journey along the same path.



To find the distance, we need to calculate the total length covered by the car.

Distance = Speed × Time

For the forward journey:
Distance = 15 km/h × Time

For the return journey:
Distance = 40 km/h × Time

Since the car travels at the same speed on both journeys, the time taken will be the same.

Now, let's calculate the displacement. Displacement is the change in position and is given by the difference between the final and initial positions.

Displacement = Final position - Initial position

Since the car starts and ends at the same point, the displacement will be zero.

Finally, let's calculate the average velocity. Average velocity is given by the ratio of total displacement to total time taken.

Average velocity = Total displacement / Total time taken

As the displacement is zero, the average velocity will also be zero.



- Distance: The total length covered by the car is given by the product of speed and time for each journey.
- Displacement: Since the car starts and ends at the same point, the displacement is zero.
- Average velocity: As the displacement is zero, the average velocity is also zero.

In conclusion, the car covers a certain distance during its journey from point A to point B and back, but the displacement is zero as it returns to the starting point. The average velocity is also zero as there is no net change in position.