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Particle Motion and Change of Direction

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A particle moves along the xx-axis with velocity given by v(t)=t3−7t2+14t−8v(t) = t^3 - 7t^2 + 14t - 8 for 0≤t≤50 \leq t \leq 5. How many times does the particle change direction on this interval?

A

4\displaystyle 4

B

3\displaystyle 3

C

1\displaystyle 1

D

2\displaystyle 2

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