AP Calculus ABhardmcq1 pt

A particle moves along the xx-axis so that its velocity at time t0t \ge 0 is given by v(t)=t25t+6v(t) = t^2 - 5t + 6. At time t=1.5t = 1.5, is the speed of the particle increasing or decreasing, and why?

Explanation

Core Concept

Correct. The velocity is v(1.5)=0.75>0v(1.5) = 0.75 > 0 and acceleration is a(1.5)=2<0a(1.5) = -2 < 0. When velocity and acceleration have opposite signs, the speed of the particle is decreasing.

Correct Answer

q2_a

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