I need help with this practice problem. I was given the answer key but I need help solving it step by step. A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West. Finally the driver turns again and drives 0.5 km Northwest. (a) What is the total distance driven? (b) What are the magnitude and direction of the car’s overall displacement?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...
icon
Related questions
Question

I need help with this practice problem. I was given the answer key but I need help solving it step by step. 

A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West.
Finally the driver turns again and drives 0.5 km Northwest.
(a) What is the total distance driven?
(b) What are the magnitude and direction of the car’s overall displacement?

Answer Key:

a.) 3.5 km

b.) .11 km, 9.55◦

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Vector basics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning