AP EAMCET · Maths · Application of Derivatives
If \(s=60 t-5 t^2\) denotes the distance covered by a particle in time \(t\), then the distance it covers before coming to rest is.... units.
- A 120
- B 720
- C 240
- D 180
Answer & Solution
Correct Answer
(D) 180
Step-by-step Solution
Detailed explanation
\(s=60 t-5 t^2\) is the distance covered by a particle in time ‘t’. \(\because\) At rest \(v=0\) \[ \begin{array}{rrr} \Rightarrow & \frac{d s}{d t}=0 \\ & 60-10 t=0 \\ \Rightarrow & t=6 \mathrm{~s} \end{array} \] \(\therefore\) Distance covered in \(6 \mathrm{~s}\) before…
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