Question

please help me i've been doing this for like 4 hours and i used up my last brain cells...


Use the Pythagorean theorem to answer the question. Josie walks 2 miles east and then turns and walks another 1/2 mile to the north. The walk takes her 1 hour. What is Josie's average velocity?


2 mi/h to the northeast


4.25 mi/h to the northeast


2.06 mi/h to the northeast

Answer 1

Answer:

$2.06\frac{mi}{h}$ to the northeast

Step-by-step explanation:

step 1

Find the distance

Applying the Pythagoras Theorem

$d^{2} =2^{2}+(\frac{1}{2})^{2} \\ \\d^{2}=4+\frac{1}{4}\\ \\d^{2}=\frac{17}{4}\\ \\d=\frac{\sqrt{17}}{2}\ mi\\\\d=2.06\ mi$

step 2

Find the average velocity

Divide the distance by the time (1 hour)

$\frac{2.06}{1}=2.06\frac{mi}{h}$