Recent content by Sage Hopkins

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    When is a Particle at Rest in a Motion Problem?

    The full problem statement goes: A particle moves according to a law of motion s = cos(πt/4), t >= 0, where t is measured in seconds and s in feet. There are several sub-questions from here about velocity, acceleration, graphs, etc.., but the one that I got stuck on is (c.) When is the...
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    When is a Particle at Rest in a Motion Problem?

    (1.) I have a "particle in motion" problem that is asking me when a particle is at rest, which I understand to be when velocity = v(t) = 0, so v(t) = - (π/4) sin (πt/4) = 0. The given answer is as follows: - (π/4) sin (πt/4) = 0 sin (πt/4) = 0...