Perpendicularity of Momentum and Velocity

Question

The momentum of a particle is described by the vector function $$\mathbf{p}(t) = (3t^2 \hat{i} - 4t \hat{j})$$ kg·m/s. At what time $$t > 0$$ is the momentum vector perpendicular to the velocity vector?

Accepted Answer

There is no such time; no nonzero real solution exists for t > 0.

Answer

t = 0 seconds

Answer

t = 4/3 seconds

Answer

t = 3/4 seconds

Perpendicularity of Momentum and Velocity

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