Question

Tiana jogs 1.5 km along a straight path and then turns and jogs 2.4 km in the opposite direction. She then turns back and jogs 0.7 km in the original direction. Let Tiana's original direction be the positive direction. What are the displacement and distance she jogged?

Answer 1

Answer:

Distance: 4.6km Displacement= -0.2km

Explanation:

Total distance: 1.5+2.4+0.7= 4.6 km

Displacement: 1.5-2.4+0.7= -0.2km

The displacement may also be 0.2km, it just depends on if it wants it negative or not.

Answer 2

Tiana displacement is 0.2 km in the opposite direction, while her distance covered is 4.6 km

Given that Tiana's original direction be the positive direction.

Displacement is a vector quantity. That is, we will consider both the magnitude and direction.

As Tiana jogs 1.5 km along a straight path and then turns and jogs 2.4 km in the opposite direction, Her displacement = 1.5 - 2.4

As She then turns back and jogs 0.7 km in the original direction,

Displacement = 1.5 - 2.4 + 0.7

Displacement = - 0.2 km ( that is, in the opposite direction.)

Distance is a scalar quantity. That is, we will only consider the magnitude.

Tiana total distance = 1.5 + 2.4 + 0.7

Total distance = 4.6 km

Therefore, her displacement is 0.2 km in the opposite direction, while her distance covered is 4.6 km

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