- #1

karush

Gold Member

MHB

- 3,269

- 5

George makes a paper boat with his brother Bill and goes out in the rain to play with it. It falls in the stream along the curb, racing towards the sewer.

Let t be measured in seconds, p be the velocity of the paper boat in meters/second and g be George’s velocity, measured in meters/seconds.

At $t = 28$, if George has not retrieved his boat, it will fall in the sewer, Let the position of George and his boat both be 0 at $t = 0$

$$\begin{array}{rrrrrrr}

x&0&7&14&21&28\\

g(t)&0&5&8&6&4

\end{array}$$

a. George's velocity is modeled by the function $g(t)$. Certain values of g are given in the table. Estimate the value of $g'(10.5)$, including units of measure.

the table points are on this Desmos plot. the first 3 pts are not a straight line but could represent a section of a parabola

then take the d/dx?

View attachment 9314

ok actually not sure what to do with this and its due tom

Let t be measured in seconds, p be the velocity of the paper boat in meters/second and g be George’s velocity, measured in meters/seconds.

At $t = 28$, if George has not retrieved his boat, it will fall in the sewer, Let the position of George and his boat both be 0 at $t = 0$

$$\begin{array}{rrrrrrr}

x&0&7&14&21&28\\

g(t)&0&5&8&6&4

\end{array}$$

a. George's velocity is modeled by the function $g(t)$. Certain values of g are given in the table. Estimate the value of $g'(10.5)$, including units of measure.

the table points are on this Desmos plot. the first 3 pts are not a straight line but could represent a section of a parabola

then take the d/dx?

View attachment 9314

ok actually not sure what to do with this and its due tom

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