TS EAMCET · Maths · Application of Derivatives
A particle moving from a fixed point on a straight line travels a distance \(S\) metres in \(t \mathrm{sec}\). If \(S=t^3-t^2-t+3\), then the distance (in mts) travelled by the particle when it comes to rest is
- A 5
- B 4
- C 2
- D 3
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\(S=t^3-t^2-t+3\) \(\begin{aligned} & v=\frac{d S}{d t}=3 t-2 t-1 \\ & v=0 \Rightarrow(t-1)(3 t+1) \Rightarrow t=1 \\ & \therefore \quad S=1-1-1+3=2\end{aligned}\)
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