Question 1You are participating in a road rally with your local classic car club. Speed is how fast an object moves, and velocity is the rate at which an object changes position.Part AYou drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed and velocity, and what are the rectangular and polar coordinates of your position? My answers for Part A were considered correct. (I have attached them as an image.) Part BYou have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.**I did not get Part B correct, so this is what I need help with. My result was an average speed of 45 mph, but this was incorrect." Any help on Part B would be greatly appreciated. **Summary:**- **Avg. speed:** 40 miles/hour- **Velocity:** 28.284 or 28 (rounded)- **Rectangular Coordinates:** (30, 30)- **Polar Coordinates:** \( \left(30\sqrt{2}, 45^\circ\right) \) and \( \left(30\sqrt{2}, \frac{\pi}{4}\right) \)**Explanation:**- **Average Speed:** Refers to the total distance traveled divided by the total time taken, hence 40 miles/hour.- **Velocity:** Represents the speed of something in a given direction, calculated to be approximately 28.284, rounded to 28.- **Rectangular Coordinates:** Refers to a point in a 2D space given as (30, 30), using the Cartesian coordinate system.- **Polar Coordinates:** Represents the same point but in terms of distance from the origin and angle from the reference direction: - The distance is \( 30\sqrt{2} \). - The angle can be represented in degrees as \( 45^\circ \) or in radians as \( \frac{\pi}{4} \).Polar coordinates offer another way to express the location of points, particularly useful in fields like physics and engineering where radial symmetry is present.

Average speed is Ratio of total distance covered and total time taken. Average velocity is Ratio of…

Answered: You have already traveled 30 miles east…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Question 1

You are participating in a road rally with your local classic car club. Speed is how fast an object moves, and velocity is the rate at which an object changes position.

Part A

You drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed and velocity, and what are the rectangular and polar coordinates of your position?

My answers for Part A were considered correct. (I have attached them as an image.)

Part B

You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.

**I did not get Part B correct, so this is what I need help with. My result was an average speed of 45 mph, but this was incorrect."

Any help on Part B would be greatly appreciated.