Particle Motion and Local Extrema

Question

The acceleration of a particle moving along a straight line is given by $$a(t) = 12t - 6$$. If the particle's initial velocity is $$v(0) = -4$$, which of the following describes the local extrema of the position function $$s(t)$$ on the interval $$0 \leq t \leq 2$$?

Accepted Answer

A local minimum but no local maximum

Answer

A local maximum but no local minimum

Answer

Neither a local maximum nor a local minimum

Answer

Both a local maximum and a local minimum

Particle Motion and Local Extrema

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