Question

A cat walks 1.5km South and then 2.4km East. What is the total displacement of the cat?

Please show work too

Answer 1

Displacement = 2.83km

Step-by-step explanation:

Given

`South = 1.5km`

`East = 2.4km`

Required

Determine the displacement

See attachment for proper representation of the cat's movement.

The displacement is represented by the slanted line and it is calculated as follows:

`D\² = S\² + E\²`

`D^2 = 1.5\² + 2.4\²`

`D\² = 2.25 + 5.76`

`D\² = 8.01`

`D = √(8.01)`

`D = 2.83019434`

D = 2.83 km (approximated)