Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands close to the lamppost and the lamppost casts her shadow on the ground in front of her. If she walks away from the lamppost at a constant speed of 2ft/s, how quickly will the length of her shadow change? (b) Now suppose two people, one shorter than the other, walk away from the lamppost at the same constant speed v. Whose shadow is increasing faster, the taller person’s or the shorter person’s

Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands close to the lamppost and the lamppost casts her shadow on the ground in front of her. If she walks away from the lamppost at a constant speed of 2ft/s, how quickly will the length of her shadow change? (b) Now suppose two people, one shorter than the other, walk away from the lamppost at the same constant speed v. Whose shadow is increasing faster, the taller person’s or the shorter person’s

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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Question

Consider a scenario in which a 20ft tall lamppost lights up a street.

(a) A 5ft tall woman stands close to the lamppost and the lamppost casts her shadow on the ground in front of her. If she walks away from the lamppost at a constant speed of 2ft/s, how quickly will the length of her shadow change?

(b) Now suppose two people, one shorter than the other, walk away from the lamppost at the same constant speed v. Whose shadow is increasing faster, the taller person’s or the shorter person’s?

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