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

Answer:

Displacement = 2.83km

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:

$D\² = S\² + E\²$

$D^2 = 1.5\² + 2.4\²$

$D\² = 2.25 + 5.76$

$D\² = 8.01$

$D = \sqrt{8.01}$

$D = 2.83019434$

D = 2.83 km (approximated)