SparkNotes Shopping Cart  |     |  Checkout
Brought to you by Barnes and Noble
  Home : Math & Science : Math Study Guides : Calculus AB : The Derivative : Problems for "Related Rates"
Applications of the Derivative (AB)
  
 
Problems for "Related Rates"
Problem 2.1: David and Angela start at the same point. At time t = 0, Angela starts running 30ft/sec north, while David starts running 40ft/sec east. At what rate is the distance between them increasing when they are 100 feet apart?
[Solution]
Problem 2.2: Sophia is sitting on the ground 10 feet from the spot where a hot air balloon is about to land. She is watching the balloon as it travels at a steady rate of 20 feet per second towards the ground. If Θ is the angle between the ground and her line of sight to the balloon, at what rate is this angle changing at the instant the balloon hits the ground?
[Solution]
Problem 2.3: Indy is 6 feet tall and is walking at a rate of 3 feet per second towards a lamppost that is 18 feet tall. At what rate is his shadow due to the lamppost shortening when he is 6 feet from the base of the lamppost?
[Solution]
Problem 2.4: Water is being poured into an inverted cone (has the point at the bottom) at the rate of 4 cubic centimeters per second. The cone has a maximum radius of 6cm and a height of 30 cm. At what rate is the height increasing when the height is 3cm?
[Solution]
Help | Feedback | Make a request | Report an error | Send to a friend
 
Get clear, concise lessons from No Fear Math and get caught up.
More...
 
You'll flip over our Pre-Algebra Study Cards—writing out flashcards is now a thing of the past.
More...
 
 
Go to top