The automobile is originally at rest, i.e., s (t = 0 s) = 0 m. If it then starts to increase its speed at a (t) = (0.05t2 ) ft/s 2 , where t is in seconds, then determine the magnitudes of its velocity and acceleration at s = 550 ft. Note that a (t) becomes a t (t) along the circular path.
The automobile is originally at rest, i.e., s (t = 0 s) = 0 m. If it then starts to increase its speed at a (t) = (0.05t2 ) ft/s 2 , where t is in seconds, then determine the magnitudes of its velocity and acceleration at s = 550 ft. Note that a (t) becomes a t (t) along the circular path.
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 automobile is originally at rest, i.e., s (t = 0 s) = 0 m. If it then starts to
increase its speed at a (t) = (0.05t2 ) ft/s 2 , where t is in seconds, then determine the magnitudes of
its velocity and acceleration at s = 550 ft. Note that a (t) becomes a t (t) along the circular path.
Transcribed Image Text:240 ft
-300 ft-
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Step 1: Function of acceleration in terms of velocity
VIEWStep 2: Integrate and substitute to obtain the velocity function
VIEWStep 3: Function of velocity in terms of distance
VIEWStep 4: Integrate and substitute to calculated time
VIEWStep 5: Velocity of the automobile
VIEWStep 6: Centripetal acceleration and tangential acceleration
VIEWStep 7: Net acceleration at s = 550 ft
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