Learning goal 3: A plane travels at +370 km/h for 6 hours, and then at –470 km/h for 5 hours.Determine which of the following are true. Note: You'll need a calculator or a pen and paper to answer.The plane finished 100 km away from where it startedThe plane passed over its starting position later in its journeyThe plane travelled a total distance of 4570 kmThe plane finished 4570 km away from where it started

Let's solve this step by step:

1. First, we calculate the distance covered in the first part of the journey. The plane travels at +370 km/h for 6 hours, so the distance covered is 370 km/h * 6 h = 2220 km.

2. Then, we calculate the distance covered in the second part of the journey. The plane travels at -470 km/h for 5 hours, so the distance covered is -470 km/h * 5 h = -2350 km.

3. Now, we add the two distances together to find the total distance from the starting point. 2220 km + (-2350 km) = -130 km. This means the plane is 130 km in the opposite direction from where it started, not 100 km.

4. Since the plane traveled in the opposite direction in the second part of the journey, it must have passed over its starting position at some point.

5. The total distance traveled by the plane is the sum of the absolute values of the distances covered in each part of the journey. So, |2220 km| + |-2350 km| = 2220 km + 2350 km = 4570 km.

6. However, the plane did not finish 4570 km away from where it started. It finished 130 km away in the opposite direction.

So, the statements "The plane passed over its starting position later in its journey" and "The plane travelled a total distance of 4570 km" are true. The other two statements are false.