A particle is moving along the x-axis according to s(t) = 1+ sin(t) where t is in seconds, t ≥ 0, and s(t) is in meters. a) Give the velocity function of the particle in terms of t. b) How fast is the particle traveling at a seconds? c) What is the average velocity in the first 2 seconds? d) When is the particle at rest?

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A particle is moving along the x-axis according to s(t) = t + sin(t) where t is in seconds, t
≥0, and s(t) is in meters.
a) Give the velocity function of the particle in terms of t.
b) How fast is the particle traveling at a seconds?
c) What is the average velocity in the first 2 seconds?
d) When is the particle at rest?
Transcribed Image Text:A particle is moving along the x-axis according to s(t) = t + sin(t) where t is in seconds, t ≥0, and s(t) is in meters. a) Give the velocity function of the particle in terms of t. b) How fast is the particle traveling at a seconds? c) What is the average velocity in the first 2 seconds? d) When is the particle at rest?
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