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Sauron [17]
3 years ago
11

On his fishing trip Justin rides in a boat 12 km south The fish aren’t biting so they go 4 km west. They then follow a school of

fish 1 km north. What distance did they cover? What was their displacement?

Physics
2 answers:
Romashka [77]3 years ago
8 0

The distance is 17 km

The displacement of the boat is about 12 km at 70° S of W

\texttt{ }

<h3>Further explanation</h3>

Vector is quantity that has magnitude and direction.

One example of a vector is displacement.

Let us now tackle the problem !

\texttt{ }

This problem is about Vector Diagram.

<em>On his fishing trip Justin rides in a boat 12 km south.</em>

d_1 = -12 \widehat{j}

\texttt{ }

<em>The fish aren’t biting so they go 4 km west.</em>

d_2 = -4 \widehat{i}

\texttt{ }

They then follow a school of fish 1 km north.

d_3 = 1 \widehat{j}

\texttt{ }

\texttt{Total Distance} = 12 + 4 + 1 = 17 \texttt{ km}

\texttt{ }

d = d_1 + d_2 + d_3

d = -12 \widehat{j} - 4 \widehat{i} + 1 \widehat{j}

d = -4 \widehat{i} - 11 \widehat{j}

\texttt{Total Displacement} = \sqrt{4^2 + 11^2} = \sqrt{137} \approx 12 \texttt{ km}

\texttt{Direction of Displacement} = \theta = \tan^{-1} \frac{11}{4} \approx 70^o \texttt{ south of west}

\texttt{ }

<h3>Learn more</h3>
  • Direction of Displacement : https://brainly.ph/question/1746541
  • Scalar and Vector : https://brainly.ph/question/274572
  • Weight : https://brainly.ph/question/545327
  • Orientation of Vectors : https://brainly.ph/question/2121753

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Vectors

\texttt{ }

Keywords: Local , Race , Driver , Road , Finish , Line , Displacement , Vector , Degree , North , West , South , Kilometres

adoni [48]3 years ago
5 0
In finding the distance that covers we simply add the three km which is 
12 + 4 + 1 = 17km

17 km is the distance they cover.

We are going to use the displacement formula which is
d = vt + 1/2 at^2
d = 11.7 km

11.7 is the displacement
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