The leopard ends up 14 km west of its starting position. The trip takes 2 hours.Calculate the leopard's average velocity.

1. Break Down the Problem

To calculate the average velocity, we need to identify the total displacement and the total time taken.

2. Relevant Concepts

The formula for average velocity ($V_{avg}$) is given by: $V_{avg} = \frac{\text{Displacement}}{\text{Time}}$ Where:

• Displacement is the change in position (in kilometers),
• Time is the duration of the trip (in hours).

3. Analysis and Detail

1. Displacement: The leopard's displacement is 14 km to the west.
2. Time: The total duration of the trip is 2 hours.

Using the values:

• Displacement $= 14 \, \text{km}$
• Time $= 2 \, \text{hours}$

Now, substituting into the average velocity formula: $V_{avg} = \frac{14 \, \text{km}}{2 \, \text{hours}} = 7 \, \text{km/h}$

4. Verify and Summarize

The calculations confirm that the average velocity is derived correctly from the displacement and time. The leopard moves 14 km in 2 hours.

Final Answer

The leopard's average velocity is $7 \, \text{km/h}$ to the west.