8 A car is traveling along a track in the shape of a curve with polar equation r = 3+2 cos(0) (5,0) km (cartesian coordinates) and km. At time t = 0 seconds the car is at (0) T(0) = (0, 1). (A) If the car travels at a constant speed of 10 meters per second then how long does it take to complete one trip around the track? (B) Decompose the acceleration into tangential and normal components at 1 minute. (C) What is the curvature of the track at the position where the car is at time 1 minute? =

8 A car is traveling along a track in the shape of a curve with polar equation r = 3+2 cos(0) (5,0) km (cartesian coordinates) and km. At time t = 0 seconds the car is at (0) T(0) = (0, 1). (A) If the car travels at a constant speed of 10 meters per second then how long does it take to complete one trip around the track? (B) Decompose the acceleration into tangential and normal components at 1 minute. (C) What is the curvature of the track at the position where the car is at time 1 minute? =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

8 A car is traveling along a track in the shape of a curve with polar equation r = = 3+2 cos(0)
km. At time t = 0 seconds the car is at r(0) (5,0) km (cartesian coordinates) and
T(0) = (0, 1).
(A) If the car travels at a constant speed of 10 meters per second then how long does
it take to complete one trip around the track?
(B) Decompose the acceleration into tangential and normal components at 1 minute.
(C) What is the curvature of the track at the position where the car is at time 1
minute?
=

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