Question

Use the Pythagorean theorem to answer the question Josie walks 2 miles east and then tur upn and walk another another mile to the north the wild paint her 1 hour what is josie average velocity

Answer 1

Using the Pythagorean theorem, Josie's average velocity is sqrt(5) miles per hour.

Step-by-step explanation:

By using the Pythagorean theorem, we can calculate Josie's displacement and then divide it by the time it took her to find her average velocity.

First, let's calculate Josie's displacement. With a distance of 2 miles east and 1 mile north, we can form a right triangle with the east displacement as the base (2 miles) and the north displacement as the height (1 mile). Using the Pythagorean theorem (a^2 + b^2 = c^2), we can find the hypotenuse and thus the displacement:

c^2 = 2^2 + 1^2 = 4 + 1 = 5

c = sqrt(5) miles

Josie's displacement is sqrt(5) miles. To find her average velocity, we need to divide her displacement by the time she took, which is 1 hour:

Average velocity = Displacement / Time = sqrt(5) miles / 1 hour = sqrt(5) miles per hour