The car travels around the portion of a circular track having a radius of r = 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate ofa = 0.002t in ft/s, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has travelled three-fourths the way around the track.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The car travels around the portion of a circular track having
a radius of r = 500 ft such that when it is at point A it has
a velocity of 2 ft/s, which is increasing at the rate ofa =
0.002t in ft/s, where t is in seconds. Determine the
magnitudes of its velocity and acceleration when it has
travelled three-fourths the way around the track.
O v = 36.83 ft s^-1 ; a = 2.74 ft s^-2
O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2
O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2
O None of the choices
Transcribed Image Text:The car travels around the portion of a circular track having a radius of r = 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate ofa = 0.002t in ft/s, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has travelled three-fourths the way around the track. O v = 36.83 ft s^-1 ; a = 2.74 ft s^-2 O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2 O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2 O None of the choices
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