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AP®︎/College Calculus BC

Course: AP®︎/College Calculus BC > Unit 9

Lesson 5: Solving motion problems using parametric and vector-valued functions

Planar motion example: acceleration vector
Planar motion (differential calc)
Motion along a curve: finding rate of change
Motion along a curve: finding velocity magnitude
Motion along a curve (differential calc)
Planar motion (with integrals)
Planar motion (with integrals)

Motion along a curve (differential calc)

AP.CALC: FUN‑8 (EU), FUN‑8.B (LO), FUN‑8.B.1 (EK)

You might need: Calculator

A particle moves along the curve x, y, equals, 10 so that the y-coordinate is increasing at a constant rate of 3 units per minute.

What is the rate of change (in units per minute) of the particle's x-coordinate when the particle is at the point left parenthesis, 2, comma, 5, right parenthesis?

(Choice A)
start fraction, 4, divided by, 5, end fraction
(Choice B)
0
(Choice C)
minus, start fraction, 5, divided by, 2, end fraction
(Choice D)
minus, start fraction, 6, divided by, 5, end fraction

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AP®︎/College Calculus BC

Course: AP®︎/College Calculus BC > Unit 9

Problem