Question

craving a coffee before class, lacey drove 0.6 kilometers to a coffee shop. it was closed, so she drove 2.3 kilometers in the opposite direction to try another one. she then continued another 3.2 kilometers in the same direction to her college. assume the direction lacey started driving is the positive direction. what was laceys displacement? kilometers

Explanation:

Step1: Define displacements

Positive - direction displacement $d_1 = 0.6$ km, negative - direction displacement $d_2=- 2.3$ km, and then positive - direction displacement $d_3 = 3.2$ km.

Step2: Calculate total displacement

The total displacement $D=d_1 + d_2 + d_3$. Substitute the values: $D = 0.6+( - 2.3)+3.2$. First, $0.6+( - 2.3)=0.6 - 2.3=-1.7$ km. Then, $-1.7 + 3.2 = 1.5$ km.

Answer:

$1.5$