Concept explainers
Severe weather ice makers Hail is produced in severe thunderstorms when an updraft draws moist surface air into subfreezing air above 10,000 feet. The speed of the updraft s, in mph, affects the diameter of hail (in inches). According to National Weather Service data, the rate of change of hail size with respect to updraft speed is
(a) When updraft speeds approach 60 mph, hail is golf-ball-sized. Use h = 1.5 and s = 60 to find a model for h(s).
(b) Use the model to find the hail size for an updraft speed of 100 mph.
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Chapter 12 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?arrow_forwardUse the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.arrow_forwardA Leaky BalloonA balloon leaks air changes volume at a rate of one-third the volume per minute. Write an equation of change that describes the volume V of air in the balloon at time t in minutes.arrow_forward
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