A particle of mass is moving such that at time

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A particle of mass 2 kg2 \text{ kg} is moving such that at time tt, its position, in meter, is given by r⃗(t)=5i^−2t2j^\vec{r}(t) = 5\hat{i} - 2t^2\hat{j}. The angular momentum of the particle at t=2st = 2\text{s} about the origin in kg m−2s−1\text{kg m}^{-2} \text{s}^{-1} is : (1) −80k^-80\hat{k} (2) (10i^−16j^)(10\hat{i} - 16\hat{j}) (3) −40k^-40\hat{k} (4) 40k^40\hat{k}

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