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Please help me find this part of my question, thank you!

Please help me find this part of my question, thank you!-example-1
User Klor
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1 Answer

4 votes

Given,


s(t)=(1)/(3)t^3-(7)/(2)t^2+10t

To find: Find all the times when his velocity is increasing.

Solution:

Differentiate the given equation with respect to time for v(t)


\begin{gathered} (ds(t))/(dt)=(3)/(3)t^2-(7)/(2)*2t+10 \\ v(t)=t^2-7t+10 \end{gathered}

Now, v(t)=0


\begin{gathered} t^2-7t+10=0 \\ t^2-5t-2t+10=0 \\ t(t-5)-2(t-5)=0 \\ (t-2)(t-5)=0 \end{gathered}

The time is


t=2,5

Thus, all the times when his velocity is increasing is 2, 5.

User Rubens Mariuzzo
by
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