The acceleration of a particle is given by
`a=8e^(-2t)+3e^(-t)`,
where `x` is the displacement in metres and `t` is the time in seconds.
Initially its velocity is `text(– 6 ms)^(–1)` and its displacement is 5 m.
- Show that the displacement of the particle is given by
- `qquad x=2e^(-2t)+3e^-t+t`. (2 marks)
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- Find the time when the particle comes to rest. (3 marks)
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- Find the displacement when the particle comes to rest. (1 mark)
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