A particle moving along the -axis has acceleration meters per second squared for

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

Problem

A particle moving along the xx-axis has acceleration a(t)=−6t+12a(t)=-6t+12 meters per second squared for 0≤t≤50\le t\le5. At time t=0t=0, its velocity is 00 m/s and its position is x=0x=0. Determine the time at which the particle is farthest from the origin during the interval 0≤t≤50\le t\le5.

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