Velocity when acceleration is half-Olympiad Problem

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SUMMARY

The motion of a body described by the equation dv/dt=6-3v indicates that the initial acceleration at t=0 is 6 m/s². The calculation shows that when the speed reaches 1 m/s, the acceleration is calculated as 3 m/s². However, the conclusion drawn from the problem states that this is false, suggesting an error in the answer model rather than the calculations performed. The correct interpretation confirms that the speed is indeed 1 m/s when the acceleration is half of its initial value.

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Q: The motion of a body is given by the equation dv/dt=6-3v.If the body was at rest at t=0 then:

The speed is 1m/s when the acceleration is half of the initial value. (True/False)



My approach:

At t=0 the acceleration of the particle is 6m/s^2.Therefore,
3=6-3v

which gives v=1m/s.
So I selected 'true'. But the answer is given to be 'false'. What is wrong with my calculation?
 
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Nothing, the answer model is wrong.
 

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