An object traveling on a straight track has acceleration m/s

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

An object traveling on a straight track has acceleration a(t)=12t−8a(t)=12t-8 m/s2^{2}. At t=1t=1 s, its velocity is 55 m/s and its position is 22 m. Find the object’s position at t=4t=4 s.

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