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Alisha is driving her car on a straight highway. She drives for 1500 m, then turns around and drives 1000 m back in the opposite direction. The whole journey took 120 s. What was her average velocity, v , to 2 significant figures?

To calculate the average velocity, we need to use the formula for average velocity:

\[
v = \frac{\Delta x}{\Delta t}
\]

Where:
- \( \Delta x \) is the **displacement** (the net change in position),
- \( \Delta t \) is the total time taken.

### Step 1: Calculate the displacement
Alisha drives 1500 m in one direction, then 1000 m back in the opposite direction. Displacement is the difference between her final and initial positions, so:

\[
\Delta x = 1500 \, \text{m} - 1000 \, \text{m} = 500 \, \text{m}
\]

### Step 2: Total time
The total time given is 120 seconds, so \( \Delta t = 120 \, \text{s} \).

### Step 3: Calculate the average velocity
Now, substitute the values into the formula:

\[
v = \frac{500 \, \text{m}}{120 \, \text{s}} = 4.1667 \, \text{m/s}
\]

### Step 4: Round to two significant figures
Rounding to two significant figures:

\[
v \approx 4.2 \, \text{m/s}
\]

So, Alisha's average velocity is **4.2 m/s**.

Would you like to know more details about this calculation or explore related concepts?

Here are 5 related questions for deeper understanding:
1. What is the difference between velocity and speed?
2. How would the average speed differ from the average velocity in this case?
3. What if the time taken for the return journey was different—how would that affect the average velocity?
4. How do you calculate average speed given the total distance instead of displacement?
5. What would the average velocity be if Alisha returned to her starting point?

**Tip:** Average velocity depends on the displacement, not the total distance traveled.

Alisha is driving her car on a straight highway. She drives for 1500 m, then turns around and drives 1000 m back in the opposite direction. The whole journey took 120 s. What was her average velocity, v, to 2 significant figures?

Learn how to calculate the average velocity for Alisha's car journey on a straight highway. The problem covers key physics concepts such as displacement and average velocity using the formula v = Δx / Δt. Suitable for Grades 9-11, with a step-by-step solution provided.

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