Main content

Calculus 2

Course: Calculus 2 > Unit 4

Lesson 2: Straight-line motion

Motion problems with integrals: displacement vs. distance
Analyzing motion problems: position
Analyzing motion problems: total distance traveled
Motion problems (with definite integrals)
Analyzing motion problems (integral calculus)
Worked example: motion problems (with definite integrals)
Motion problems (with integrals)
Average acceleration over interval

Motion problems (with integrals)

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

The velocity of a particle moving along the x-axis is v, left parenthesis, t, right parenthesis, equals, 3, t, plus, 2. At t, equals, 0, its position is 3.

What is the position of the particle, s, left parenthesis, t, right parenthesis, at any time t?

(Choice A)
s, left parenthesis, t, right parenthesis, equals, 3
(Choice B)
s, left parenthesis, t, right parenthesis, equals, 3, t, squared, plus, 2, t, plus, 3
(Choice C)
s, left parenthesis, t, right parenthesis, equals, start fraction, 3, divided by, 2, end fraction, t, squared, plus, 2, t
(Choice D)
s, left parenthesis, t, right parenthesis, equals, start fraction, 3, divided by, 2, end fraction, t, squared, plus, 2, t, plus, 3

Stuck?

Calculus 2

Course: Calculus 2 > Unit 4

Problem