At time an object moving along a straight line has velocity and acceleration

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

Problem

At time t=4 st = 4\text{ s} an object moving along a straight line has velocity v(4)=−2 m/sv(4) = -2\,\text{m/s} and acceleration a(4)=3 m/s2a(4) = 3\,\text{m/s}^2. Determine whether the object is speeding up or slowing down at t=4 st = 4\text{ s}.

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