When is the particle at rest?
Understand the Problem
The question is asking about the conditions under which a particle is at rest, typically referring to when its velocity is zero. To determine this, we may need to analyze a given scenario involving the particle's motion data, possibly involving equations from physics.
Answer
The particle is at rest when its velocity v(t) is equal to 0.
The particle is at rest when its velocity v(t) is equal to 0.
Answer for screen readers
The particle is at rest when its velocity v(t) is equal to 0.
More Information
A particle is considered at rest when its velocity is zero since it is not moving. This can be determined by solving the equation v(t) = 0.
Tips
Common mistakes include confusing rest with zero acceleration. It's important to note that a(t) = 0 doesn't necessarily mean the particle is at rest.
Sources
- Determining Whether a Particle is Speeding Up or Slowing Down - math.stackexchange.com
- Particle Motion In Calculus (Step-by-Step Examples) - calcworkshop.com
- Calculus 1. Finding When a Particle Is at Rest. - YouTube - youtube.com
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