the second duckling is wandering by 2.6 units distance than the first duckling .
Step-by-step explanation:
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ [tex]D = |b|-|a|[/tex]
⇒ [tex]D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}[/tex]
⇒ [tex]D = \sqrt{233} -\sqrt{169}[/tex]
⇒ [tex]D =15.26 -13[/tex]
⇒ [tex]D =2.6[/tex]
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
