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Course: AP??/College Calculus BC?>?Unit 8
Lesson 2: Connecting position, velocity, and acceleration functions using integrals- 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
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Motion problems (with integrals)
Problem
The velocity of a particle moving along the -axis is . At , its position is .
What is the position of the particle, , at any time ?