Question

A delivery truck leaves a warehouse and travels 2.60 km north. The truck makes a right turn and travels 1.33 km east before making another right turn and then travels 1.45 km south to arrive at its destination. Express the displacement (d) of the truck from the warehouse using unit vectors, where north is the +j direction and east is the +i direction. Group of answer choices

d = 1.15 i + 1.33 j
d = 1.33 i + 2.60 j
d = 1.33 i + 1.45 j
d = 2.60 i + 1.45 j
d = 1.33 i + 1.15 j

Answer 1

The displacement of the truck from the warehouse is
`d=1.33i+1.15j`.

(5) is correct option.

Step-by-step explanation:

Given that,

A delivery truck travels 2.60 km north and makes right turn and travel 1.33 km east before making another right turn and then travel 1.45 km south to arrive at its destination.

According to figure,

We need to calculate the value of y

`h=2.60j-1.45j`

`h=1.15j`

We need to calculate the displacement

Using formula of displacement

`d=1.33i+h`

`d=1.33i+1.15j`

Hence, The displacement of the truck from the warehouse is
`d=1.33i+1.15j`.