An always negative velocity

An always negative velocity

5 marks
TGM Original
A particle has displacement s=8e-t-2t metres for t 0 seconds. Find its velocity and acceleration and prove it never comes to rest.

Solution:

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Answer:\(v=-8\mathrm{e}^{-t}-2\ \mathrm{m\,s^{-1}},\ a=8\mathrm{e}^{-t}\ \mathrm{m\,s^{-2}}\). It never rests and always moves in the negative direction.

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