Final answer:
The total distance the student ran is 4.6 km. Displacement is calculated with respect to the direction and the final displacement is -0.2 km, indicating she is 0.2 km in the opposite direction from the starting point.
Step-by-step explanation:
The student is asking about the total distance covered by combining several distances. To calculate the total distance she ran in kilometers, we simply need to add the distances together:
- First distance: 1.5 km
- Second distance: 2.4 km
- Third distance: 0.7 km
Add these distances to get the total distance: 1.5 km + 2.4 km + 0.7 km = 4.6 km.
Displacement, on the other hand, is calculated by taking the difference in position from the starting point to the endpoint considering the direction. Since Tiana's original direction is considered positive:
- First displacement: +1.5 km
- Second displacement: -2.4 km (opposite direction)
- Third displacement: +0.7 km (original direction)
So, the displacement is: +1.5 km - 2.4 km + 0.7 km = -0.2 km, where the negative sign indicates that her final position is 0.2 km in the opposite direction from her starting point.