The position of a particle moving along the y-axis is given by y(t) = ct³ + bt + 100, where c and b are constants, y(t) is measured in feet, and t is measured in minutes. If the velocity of the particle is 350 feet per minute at t = 5 and the acceleration of the particle is 120 feet per minute per minute at t = 5, what is the value of b?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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The position of a particle moving along the y-axis is given by y(t) = ct³ + bt + 100,
where c and b are constants, y(t) is measured in feet, and t is measured in minutes. If the
velocity of the particle is 350 feet per minute at t = 5 and the acceleration of the particle is
120 feet per minute per minute at t = 5, what is the value of b?
Transcribed Image Text:The position of a particle moving along the y-axis is given by y(t) = ct³ + bt + 100, where c and b are constants, y(t) is measured in feet, and t is measured in minutes. If the velocity of the particle is 350 feet per minute at t = 5 and the acceleration of the particle is 120 feet per minute per minute at t = 5, what is the value of b?
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