Question

1. a truck moves from a to d along the path as shown below. what is the trucks distance and displacement? a) distance = 21 km displacement = 21 km to the north b) distance = 5 km displacement = 5 km to the north c) distance = 5 km displacement = 21 km to the south d) distance = 21 km displacement = 5 km to the south

Explanation:

Step1: Calculate the distance

Distance is the total path length. From the figure, \(AB = 9\space km\), \(BC= 6\space km\), \(CD = 6\space km\).

$$
LATEXBLOCK0
$$

Step2: Calculate the displacement

Displacement is the shortest path from initial (\(A\)) to final (\(D\)) point.
Since \(A\) to \(D\) is in the south - direction (opposite to the north direction shown in the compass) and the length \(AD\) (by observing the figure's scale, assume the net south - ward movement) is \(5\space km\) (by vector addition concept in the context of the figure's geometry).

Answer:

d) distance = 21 km, displacement = 5 km to the South