An automobile moves on a circular track of radius 1.02 km. It starts from rest from the point (x, y ) = (1.02 km, 0 km) and moves counterclockwise with a steady tangential acceleration such that it returns to the starting point with a speed of 29.3 m/s after one lap. (The origin of the Cartesian coordinate system is at the center of the circular track.) What are the car's position and velocity vectors when it is one-eighth of the way around the track? Express the vectors in terms of the unit vectors along the x- and y-axes. r = ( _____ i + _____ j) km v = ( _____ i + _____ j) 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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...
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An automobile moves on a circular track of radius 1.02 km. It starts from rest from the point (x, ) = (1.02 km, 0 km) and moves counterclockwise with a steady tangential acceleration such that it returns to the starting point with a speed of 29.3 m/s after one lap. (The origin of the Cartesian coordinate system is at the center of the circular track.)

What are the car's position and velocity vectors when it is one-eighth of the way around the track? Express the vectors in terms of the unit vectors along the x- and y-axes.
r = ( _____ i + _____ j) km
v = ( _____ i + _____ j) m/s

What is the tangential acceleration at this point?
_______ m/s2
What is the centripetal acceleration at this point?
_______ m/s2

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