Related Rates

gdix, Ms. Orr, Dec 13, 2022

Contains Dynamic Illustrations depicting related-rates problems often seen in a Calculus-1 course.


  • 1. Related Rates (1)
  • 2. Falling Ladder !!!
  • 3. Related Rates Shadow
  • 4. Related Rates (2)
  • 5. Related Rates - Pulling Boat
  • 6. Related Rates - Rocket
  • 7. Cone - Related Rates
  • 8. Cone to Cylinder Related Rate Problem
  • 9. Related Rates (3)
  • 10. Related Rates: Adjustable Cone with dh/dt Constant
  • 11. Related Rates: Adjustable Cone with dV/dt Constant

1.

Related Rates (1)

Suppose [color=#0000ff][b]particle A [/b][/color]and [color=#cc0000][b]particle B[/b][/color] start at the same spot. [br][br]Suppose [color=#0000ff][b]particle A[/b][/color] [color=#0000ff]starts to head east at a speed of 10 m/s.[/color] [br]At the same time [b][color=#0000ff]A[/color][/b] leaves its initial position, [color=#cc0000][b]particle B[/b][/color] [color=#cc0000]starts heading north at a speed of 5 m/s[/color]. [br][br]Play to animate, then answer the questions that follow. [br]([color=#ff00ff][b]Please don't click the checkbox yet. Do so when prompted to.) [/b][/color]
1.
At what rate is the distance, [i]w[/i], between [i]A[/i] and [i]B[/i] changing after 3 sec?
2.
At what rate is the distance, [i]w[/i], between [i]A[/i] and [i]B[/i] changing after 5 sec?
3.
At what rate is the distance, [i]w[/i], between [i]A[/i] and [i]B[/i] changing after 6 sec?
– Tim Brzezinski

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