An automobile traveling 95 km/h
 overtakes a 1.10-km
-long train traveling in the same direction on a track parallel to the road .How far will the car have traveled if the car and train are traveling in opposite directions?
Express your answer using two significant figures.

To solve this, we will use the concept of relative velocity since the car and train are moving in opposite directions. The key here is that the relative speed between the car and the train is the sum of their individual speeds when they move towards each other.

### Step 1: Convert speeds to the same unit
- Speed of the car = \( 95 \, \text{km/h} \)
- Length of the train = \( 1.10 \, \text{km} \)

Assume the speed of the train is \( v_{\text{train}} \), but it was not given in the problem. However, since we are calculating the relative velocity, let's assume the speed of the train is \( v \, \text{km/h} \) and it cancels out since it's for both directions.

### Step 2: Relative velocity
Since they are moving in opposite directions, the relative velocity is the sum of the car's and the train's speed:
\[
v_{\text{relative}} = 95 + v_{\text{train}} = \text{total speed going toward each}
\]


Now I can give

An automobile traveling 95 km/h overtakes a 1.10-km-long train traveling in the same direction on a track parallel to the road. How far will the car have traveled if the car and train are traveling in opposite directions? Express your answer using two significant figures.

Explore the concept of relative velocity with this kinematics problem involving a car and a train traveling in opposite directions. Learn how to calculate the distance traveled by the car using relative velocity and fundamental kinematic equations. Suitable for students in Grades 9-11.

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