The motion (s) of a particle can be expressed as a function of time (t). The first derivative of s with respect to time is the velocity, while its second derivative is the acceleration. Which of the following is true? All are false. All are true. Acceleration is the first time derivative of velocity. If the acceleration is negative, the velocity is increasing. O If the velocity is zero, the particle is moving swiftly. O Velocity is the first time derivative of acceleration.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
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The motion (s) of a particle can be expressed as a function of time (t). The first
derivative of s with respect to time is the velocity, while its second derivative is
the acceleration. Which of the following is true?
All are false.
O All are true.
Acceleration is the first time derivative of velocity.
If the acceleration is negative, the velocity is increasing.
O If the velocity is zero, the particle is moving swiftly.
Velocity is the first time derivative of acceleration.
Transcribed Image Text:The motion (s) of a particle can be expressed as a function of time (t). The first derivative of s with respect to time is the velocity, while its second derivative is the acceleration. Which of the following is true? All are false. O All are true. Acceleration is the first time derivative of velocity. If the acceleration is negative, the velocity is increasing. O If the velocity is zero, the particle is moving swiftly. Velocity is the first time derivative of acceleration.
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