Question

Help

Answer 1

How?

Answer 2

second question

Answer 3

Is it talking about the graph above?

Do you have another picture with it zoomed out?

Answer 4

Better?

Answer 5

i know you have too make a different equation for each slope. To than sketch it

Answer 6

I'm assuming you know calculus...

\[ \large \int v(t) = x(t) \]

\[\large v(t)=\left\{
\begin{array}{c l}
2t, &0 < x \le 5 \\
10, & 5<x \le 10 \\
-t, & x > 10
\end{array}\right.\]

Find the integral for v(t) -- of the functions given. Tell me what they are.

Answer 7

Sorry it took so long to reply; I haven't done that before in LaTeX...

Answer 8

the first inequality is a quadratic for x(t) second constant at 10 third a quadratic?

Answer 9

im not good with definite integrals

Answer 10

Here are the integrals for each of them:

\[\large \int v(t)=\left\{
\begin{array}{l l}
{4t^2\div 2 + C}, &0 < x \le 5 \\
10t + C, & 5 <x \le 10 \\
-t^2 \div 2 + C, & x > 10
\end{array}\right.\]

To turn this into x(t), you need to replace those Cs with the values on the preceding piece of the function. So:

\[\large x(t)=\left\{
\begin{array}{l l}
{4t^2\div 2} + 0, &0 < x \le 5 \\
10t + x(5), & 5<x \le 10 \\
-t^2\div 2 + x(10), & x > 10
\end{array}\right.\]

Answer 11

So for\[ t=0 \] \[x=10\]

Answer 12

\[t=5\] \[x=35\]

Answer 13

i need one of these graphs of x(t)