Question

1. jake visits his relatives on thanksgiving. he first travels to his parents place which is 5 miles straight north. he then travels to his grandparents which are 5 miles straight west from his parents house.

a. what is the total distance of jakes journey?
b. what is the total displacement of jakes journey?

Explanation:

Step1: Calculate total distance

Total distance is sum of two parts.
\(5 + 5=10\) miles.

Step2: Calculate displacement

Use Pythagorean theorem (\(a^{2}+b^{2}=c^{2}\), here \(a = 5\), \(b = 5\)).
\(c=\sqrt{5^{2}+5^{2}}=\sqrt{25 + 25}=\sqrt{50}=5\sqrt{2}\approx7.07\) miles.

Answer:

a. \(10\) miles
b. \(5\sqrt{2}\approx7.07\) miles