The velocity of a particle moving along the `x`-axis is given by `dotx=10-2t`, where `x` is the displacement from the origin in metres and `t` is the time in seconds. Initially the particle is 5 metres to the right of the origin.
- Show that the acceleration of the particle is constant. (1 mark)
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- Find the time when the particle is at rest. (1 mark)
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- Show that the position of the particle after 7 seconds is 26 metres to the right of the origin. (2 marks)
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- Find the distance travelled by the particle during the first 7 seconds. (2 marks)
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