Question

What is the magnite of the net displacement of the mouse?

Answer 1

Complete Question

A field mouse trying to escape a hawk runs east for 5.0m, darts southeast for 3.0m, then drops 1.0m down a hole into its burrow. What is the magnitude of the net displacement of the mouse?

Answer:

The values is
`s =  7.49 \  m`

Step-by-step explanation:

From the question we are told that

The distance it travels eastward is
`x =  5.0 \ m`

The distance it travel towards the southeast is
`l  =  3.0\  m`

The distance it travel towards the south is
`z =  1 \  m`

Let x-axis be east

y-axis south

z-axis into the ground

The angle made between east and south is
`\theta  =  45^o`

The displacement toward x-axis is

`x =  5 +  3cos(45)`

`x =  7.12`

The displacement toward the y-axis is

`y  =  3 *  sin (45)`

`y =  2.123`

Now the overall displacement of the rat is mathematically evaluated as

`s =  √(7.12^2 +  2.12^2 +  1^2)`

`s =  7.49 \  m`