The time dependence of the position of a particle of mass is given by

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

The time dependence of the position of a particle of mass m=2m = 2 is given by r⃗(t)=2ti^−3t2j^\vec{r}(t) = 2t\hat{i} - 3t^2\hat{j} . Its angular momentum, with respect to the origin, at time t=2t = 2 is : (1) 48(i^+j^)48(\hat{i} + \hat{j}) (2) 36k^36\hat{k} (3) −34(k^−i^)-34(\hat{k} - \hat{i}) (4) −48k^-48\hat{k}

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