Chapter 6, Problem 2ICA

Decide on the type of problem for each question.

1. a. Given human reaction times as a function of age and information regarding the braking distances of cars as a function of speed, what are appropriate following distances for driving?
2. b. Parachute manufacturers provide the fall speed of an open chute as a function of person weight. If we open our chute at 3000 ft, how long will it take to land?
3. c. Which will cool more quickly, one cup of coffee or two cups half full?
4. d. Estimate the force required to accelerate a mass of 61.4 kilograms at a rate of 2.9 m/s².
5. e. At a party, we blow up a balloon. After three quick breaths, we pause and then wonder how much greater the surface area will be if we add another three breaths.
6. f. Tom drives from his home to a nearby town that is 20 miles away at 30 miles per hour. He wishes to drive back home at a speed that will allow him to average 60 miles per hour for the round trip. How fast should he drive on the return trip?
7. g. To construct a concrete patio, the soil is leveled and gravel is laid on the area. Concrete is poured on top of this. The thickness of the gravel layer needs to be determined based on the gravel size. For small pebble size (average size 4 mm), the layer must be the same thickness as the concrete. For medium size (average 16 mm), it must be two times thicker, and for large size (64 mm), it must be three times thicker. We need to prepare a design chart that will allow us to select the proper thickness of concrete immediately as the gravel is delivered. (We donʼt know what the gravel size will be until the shipment arrives.) Once on site, a quick test will provide the gravel size; we do know, however, it will be somewhere between 4 millimeters and 50 millimeters.
8. h. A firefighter aims a stream of water just over the top of a 50-foot flagpole. If the firefighter stands 60 feet away from the pole, about how far does the water stream travel before hitting the ground?
9. i. The drag generated by a parachute (which keeps us from falling faster) depends on the falling speed squared. If a 100-pound person falls at 10 feet per second, how fast will a 200-pound person fall?