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  $s = 7.49 \ m$

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

        $s = \sqrt{7.12^2 + 2.12^2 + 1^2}$

      $s = 7.49 \ m$