Final answer:
Tiana's displacement is 0.8 km in the negative direction, and the distance she jogged is 4.6 km.
Step-by-step explanation:
The displacement is the change in position from the starting point to the ending point. In this case, since Tiana makes two changes in direction, her displacement is determined by the final position relative to the starting position. Tiana initially jogs 1.5 km in the positive direction, then jogs 2.4 km in the negative direction, and finally jogs 0.7 km in the positive direction again. So, her displacement is 1.5 km - 2.4 km + 0.7 km = 0.8 km in the negative direction.
The distance she jogged is the total length of the path she traveled, regardless of direction. To find the distance, we add up the magnitudes of the lengths of each segment of her jog. So, the distance she jogged is |1.5 km| + |2.4 km| + |0.7 km| = 4.6 km.