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AP Calculus AB Cha 3 E Interpret Related Rates in Applied Contexts Questions

Practise related-rates questions by defining variables, differentiating with respect to time and interpreting the result in context.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • define related quantities and differentiate their relationship with respect to time
  • interpret a related rate with correct sign and units in context

AP Calculus AB Cha 3 E Interpret Related Rates in Applied Contexts Questions question 1

[Maximum number: 1]

A person whose height is 6 feet is walking away from the base of a streetlight along a straight path at a rate of 4 feet per second. If the height of the streetlight is 15 feet, what is the rate at which the person's shadow is lengthening?

A

5 ft/sec

B

667 ft/sec

C

75 ft/sec

D

6 ft/sec

E

10 ft/sec

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