Answer:

Step-by-step explanation:
A particle is moving with acceleration modeled by the function:

We are given that its position s(t) at <em>t</em> = 0 is 10 and that its velocity v(t) at <em>t</em> = 0 is 16.
And we want to find its position at <em>t</em> = 8.
Velocity is the integral of the acceleration. Hence:

Find the velocity. Remember the constant of integration!

Since v(t) is 16 when <em>t</em> = 0:

Hence, our velocity is given by:

Position is the integral of the velocity. Hence:

Integrate:

s(t) is 10 when <em>t</em> = 10. Hence:

So, our position function is:

The position at <em>t</em> = 8 will be:

Answer:

Step-by-step explanation:
Step 1;
Write expression




8 I don’t know how to explain but the answer is
8
Answer:
x+2
Step-by-step explanation:
Dividing the poly by the known factor:
x3+5x2+6x <u>| x2+3x</u>
-x3-3x2 x + 2 <- the answer is here
2x2+6x
-2x2-6x
To prove that, let's multiply the two factors and find the pylonomial back on:
(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x
Tks your attention!