An object moves along a straight line with constant acceleration and initial velocity at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

An object moves along a straight line with constant acceleration a=−1.5 m/s2a=-1.5\,\text{m/s}^2 and initial velocity v0=+6.0 m/sv_0=+6.0\,\text{m/s} at t=0t=0. (a) At what time does its position–time graph attain a horizontal tangent? (b) For the interval before that time, is the graph concave up or concave down?

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