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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 8

Lesson 2: Connecting position, velocity, and acceleration functions using integrals

Analyzing motion problems (integral calculus)

AP.CALC: CHA‑4 (EU), CHA‑4.C (LO), CHA‑4.C.1 (EK)

Divya received the following problem:

A particle moves in a straight line with velocity v, left parenthesis, t, right parenthesis, equals, square root of, 3, t, minus, 1, end square root meters per second, where t is time in seconds. At t, equals, 2, the particle's distance from the starting point was 8 meters in the positive direction. What is the particle's position at t, equals, 7 seconds?

Which expression should Divya use to solve the problem?

(Choice A)
8, plus, integral, start subscript, 0, end subscript, start superscript, 7, end superscript, v, left parenthesis, t, right parenthesis, d, t
(Choice B)
8, plus, v, prime, left parenthesis, 7, right parenthesis
(Choice C)
v, left parenthesis, 7, right parenthesis
(Choice D)
8, plus, integral, start subscript, 2, end subscript, start superscript, 7, end superscript, v, left parenthesis, t, right parenthesis, d, t

Stuck?

AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 8

Problem