Question

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) How much farther did the second duckling wander than the first duckling?

Answer 1

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 :

⇒ $D = |b|-|a|$

⇒ $D = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}$

⇒ $D = \sqrt{233} -\sqrt{169}$

⇒ $D =15.26 -13$

⇒ $D =2.6$

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .