Discussion
The distance travelled by a moving particle is given by \(s = t^{2} - 6t + 10\) , where \(t\) is the time in seconds. The particle is at rest when \(t\) =
Answer: D
The particle is at rest when t = 3.
The velocity is the derivative of displacement:
\[ v = \frac{ds}{dt} = 2t - 6 = 0 \Rightarrow t = 3 \text{ s} \]
Setting s itself to zero has no real solution here, and the other times give non-zero velocities (for example \(v = 2\) at \(t = 4\)).
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