The distance ' $s$ ' in meters covered by a body in $t$ seconds is given by $s=3 t^2-8 t+5$. The body will…
The distance ' $s$ ' in meters covered by a body in $t$ seconds is given by $s=3 t^2-8 t+5$. The body will stop after
- 1 sec
- $\frac{3}{4} \mathrm{sec}$
- $\frac{4}{3} \mathrm{sec}$
- 4 sec
Solution
$\begin{aligned}
& s=3 t^2-8 t+5 \\
\therefore \quad & \frac{d s}{d t}=6 t-8
\end{aligned}$
when body stops, $\frac{\mathrm{ds}}{\mathrm{dt}}=0$
$\therefore \quad 6 \mathrm{t}-8=0 \Rightarrow t=\frac{4}{3}$
Asked in: MHT CET 2024 (11 May Shift 1)
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