A particle moves along a straight line. The graph of the particle's position x(t) at time t is shown above for 0 < t < 6. The graph has horizontal tangents at t = 1 and t = 5 and a point of inflection at t = 2. For what values of t is the velocity of the particle increasing? (A) 0 < t < 2 (B) 1 < t < 5 (C) 2 < t < 6 (D) 3 < t < 5 only (E) 1 < t < 2 and 5 < t < 6
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This means that the velocity is represented by the slope of the tangent line at any given point on the graph of x(t). Show more…
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