55. T Velocity of an oscillator An object oscillates along a vertical line, and its position in centimeters is given by y(t) = 30(sin t - 1), where t≥ 0 is measured in seconds and y is positive in the upward direction. a. Graph the position function, for 0 ≤ t ≤ 10. b. Find the velocity of the oscillator, v(t) = y'(t). c. Graph the velocity function, for 0 < t < 10.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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55. T Velocity of an oscillator An object oscillates along a vertical line, and
its position in centimeters is given by y(t) = 30(sin t - 1), where t≥0
-
is measured in seconds and y is positive in the upward direction.
a. Graph the position function, for 0 < t≤ 10.
b. Find the velocity of the oscillator, v(t) = y'(t).
c. Graph the velocity function, for 0 < t < 10.
d. At what times and positions is the velocity zero?
e. At what times and positions is the velocity a maximum?
f. The acceleration of the oscillator is a(t) = v'(t). Find and graph the
acceleration function.
Transcribed Image Text:55. T Velocity of an oscillator An object oscillates along a vertical line, and its position in centimeters is given by y(t) = 30(sin t - 1), where t≥0 - is measured in seconds and y is positive in the upward direction. a. Graph the position function, for 0 < t≤ 10. b. Find the velocity of the oscillator, v(t) = y'(t). c. Graph the velocity function, for 0 < t < 10. d. At what times and positions is the velocity zero? e. At what times and positions is the velocity a maximum? f. The acceleration of the oscillator is a(t) = v'(t). Find and graph the acceleration function.
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