MATH0801 Study Guide - Final Guide: Hot Air Balloon, Street Light
Document Summary
Related rate problems - solutions: air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm3/s. 25 cm/s: a ladder 10ft long rests against a vertical wall. 4 ft/s: a street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. 3 ft/s: car a is traveling west at 50 mi/h and car b is traveling north at 60 mi/h. Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car a is 0. 3 mi and car b is 0. 4 mi from the intersection? x y z x 2 y 2=z2. = 78 mi/h: a water tank has the shape of an inverted circular cone with base radius 2m and height 4m.
