You go to the county fair with your friends and two you decide to play on the Merry-Go-Round. You (Point A) are moving radially outward at a rate of 0.5 m/s, towards a pretty neat dragon that is 1.75 meters from the center. Meanwhile, your friend (Point B) is moving radially outward at a rate of 0.75 m/s towards a pink elephant that is located at 0.875 meters from the center. The Merry-Go-Round is rotating at an angular velocity of 0.75 rad/s and it's speeding up at a rate of 0.15 rad/s?. a) Set up a coordinate system for you (Point A). Calculate your acceleration (in m/s²) if you are speeding up at a rate of 0.05 m/s². Convert this to rectangular coordinates when 0 = 25°. [Ans. to Check: -0.521 i-1.273 j m/s³] b) Set up a coordinate system for your friend (Point B). Calculate their acceleration (in m/s²) if they are speeding up at a rate of 0.08 m/s². Convert this to rectangular coordinates when a = 15°. c) What is your friend's acceleration with respect to you in m/s?

You go to the county fair with your friends and two you decide to play on the Merry-Go-Round. You (Point A) are moving radially outward at a rate of 0.5 m/s, towards a pretty neat dragon that is 1.75 meters from the center. Meanwhile, your friend (Point B) is moving radially outward at a rate of 0.75 m/s towards a pink elephant that is located at 0.875 meters from the center. The Merry-Go-Round is rotating at an angular velocity of 0.75 rad/s and it's speeding up at a rate of 0.15 rad/s?. a) Set up a coordinate system for you (Point A). Calculate your acceleration (in m/s²) if you are speeding up at a rate of 0.05 m/s². Convert this to rectangular coordinates when 0 = 25°. [Ans. to Check: -0.521 i-1.273 j m/s³] b) Set up a coordinate system for your friend (Point B). Calculate their acceleration (in m/s²) if they are speeding up at a rate of 0.08 m/s². Convert this to rectangular coordinates when a = 15°. c) What is your friend's acceleration with respect to you in m/s?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 70P

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You go to the county fair with your friends and two you decide to play on the Merry-Go-Round. You (Point A) are moving radially outward at a rate of 0.5 m/s, towards a pretty neat dragon that is 1.75 meters from the center. Meanwhile, your friend (Point B) is moving radially outward at a rate of 0.75 m/s towards a pink elephant that is located at 0.875 meters from the center. The Merry-Go-Round is rotating at an angular velocity of 0.75 rad/s and it's speeding up at a rate of 0.15 rad/s². a) Set up a coordinate system for you (Point A). Calculate your acceleration (in m/s²) if you are speeding up at a rate of 0.05 m/s². Convert this to rectangular coordinates when 0 = 25°. [Ans. to Check: -0.521 i-1.273 j m/s²] b) Set up a coordinate system for your friend (Point B). Calculate their acceleration (in m/s²) if they are speeding up at a rate of 0.08 m/s². Convert this to rectangular coordinates when a = 15°. What is your friend's acceleration with respect to you in m/s²? c) 9:43 PM…
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