Question

Please do number 4 for me step-by-step and explain the east and west thank you

Answer 1

`\begin{gathered} D=u+v \\ D=\langle-80,0\rangle+\langle27,0\rangle=\langle-53,0\rangle \\ D=\langle-53,0\rangle \\ \text{therefore, the total displacement is} \\ 53\text{ due west} \end{gathered}`

53 due west

Step-by-step explanation

4.

Step 1

draw

Displacement is the change in position of an object,it is the absolute value of the displacement, because displacement is a vector and cannot have a negative value of magnitude

so

`\begin{gathered} u=\langle-80,0\rangle(\text{negative because it goes to the left)} \\ v=\langle27,0\rangle \end{gathered}`

now, add the vectos to find the total displacement (D)

`\begin{gathered} D=u+v \\ D=\langle-80,0\rangle+\langle27,0\rangle=\langle-53,0\rangle \\ D=\langle-53,0\rangle \\ \text{therefore, the total displacement is}(\text{magnitude)} \\ \lvert D\rvert=\sqrt[]{(x-component)^2+(y-componte)^2} \\ \text{replace} \\ \lvert D\rvert=\sqrt[]{(-53)^2+(0)^2} \\ \lvert D\rvert=\sqrt[]{2809} \\ \lvert D\rvert=53 \end{gathered}`

so, the magnitude is 53,

direction

53 due west

I hope this helps you