The velocity of an object is given by dy / dt = 30-10t m / s and its initial position is 40 m. Calculate: At what time is the velocity zero? What is the average acceleration during the first 6s? What is the acceleration at 6 s? Estimate his change in position the first 3 s and say if it is an underestimate or an overestimate. Exactly calculate your change in position the first 3 s: Calculates the position as a function of time, that is, the position at any time

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section2.6: Average Velocity And Speed
Problem 2.6CE
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The velocity of an object is given by dy / dt = 30-10t m / s and its initial position is 40 m. Calculate:

  1. At what time is the velocity zero?
  2. What is the average acceleration during the first 6s?
  3. What is the acceleration at 6 s?
  4. Estimate his change in position the first 3 s and say if it is an underestimate or an overestimate.
  5. Exactly calculate your change in position the first 3 s:
  6. Calculates the position as a function of time, that is, the position at any time.
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