As illustrated in the accompanying figure, a train is traveling on a curved track. At a point where the train is traveling at a speed of 132 ft / s and the radius of curvature of the track is 3000 ft, the engineer hits the brakes to make the train slow down at a constant rate of 7.5 ft / s 2 . (a) Find the magnitude of the acceleration vector at the instant the engineer hits the brakes. (b) Approximate the angle between the acceleration vector and the unit tangent vector T at the instant the engineer hits the brakes.
As illustrated in the accompanying figure, a train is traveling on a curved track. At a point where the train is traveling at a speed of 132 ft / s and the radius of curvature of the track is 3000 ft, the engineer hits the brakes to make the train slow down at a constant rate of 7.5 ft / s 2 . (a) Find the magnitude of the acceleration vector at the instant the engineer hits the brakes. (b) Approximate the angle between the acceleration vector and the unit tangent vector T at the instant the engineer hits the brakes.
As illustrated in the accompanying figure, a train is traveling on a curved track. At a point where the train is traveling at a speed of
132
ft
/
s
and the radius of curvature of the track is 3000 ft, the engineer hits the brakes to make the train slow down at a constant rate of
7.5
ft
/
s
2
.
(a) Find the magnitude of the acceleration vector at the instant the engineer hits the brakes.
(b) Approximate the angle between the acceleration vector and the unit tangent vector T at the instant the engineer hits the brakes.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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(a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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