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Problem 3.6: A hot-air balloon takes off


Please wait for the animation to completely load.

A hot-air balloon travels as shown in the animation (position is given in meters and time is given in seconds). The x and y positions of the hot-air balloon's basket are shown in the graphs. Restart.

  1. During approximately what time interval is the magnitude of the y velocity increasing?
  2. During approximately what time interval is the magnitude of the y velocity decreasing?
  3. At approximately what instant of time does the y acceleration change from positive to negative?
  4. What is the y velocity from t = 87 s until t = 200 s?
  5. What is the y acceleration from t = 87 s until t = 200 s?
  6. What is the x velocity from t = 87 s until t = 200 s?
  7. What is the x acceleration from t = 87 s until t = 200 s?
  8. What is the x displacement from t = 0 s until t = 200 s?
  9. What is the y displacement from t = 0 s until t = 200 s?

Problem authored by Aaron Titus with support by the National Science Foundation under Grant No. DUE-9952323 and placed in the public domain.

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