3. The velocity function of a particle is moving on a coordinate line is given by ?(?) = 6?^2 − 42? + 60 where ? is in meters per seconds and ? is in seconds.
a) When is the particle at rest?
b) When does the particle have positive velocity?
c) When does the particle have negative acceleration?
d) When is the particle speeding up?
e) Sketch the position-time graph of the particle and the
acceleration-time graph of the particle on the given ?(?) graphs
below.
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