Particle R has acceleration with initial velocity m/s and initial position

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

Problem

Particle R has acceleration aR(t)=6t−4a_R(t)=6t-4 with initial velocity vR(0)=1v_R(0)=1 m/s and initial position xR(0)=0x_R(0)=0. Particle S has acceleration aS(t)=−2a_S(t)=-2 with initial velocity vS(0)=−3v_S(0)=-3 m/s and initial position xS(0)=20x_S(0)=20 m. Determine all times t>0t>0 when the two particles have equal velocity.

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