Answer:
Step-by-step explanation:
Use the fact that sin 30 =0.5 and cos 30 = sqrt 3/2
we have answers as
8. u=16 and v = 
9) y=5 and x=
10) tan 30 =
So y=
x=
11) a=22 and b=11
12) b=1.5 and a=
13) y=
and x=10

Substituting this into the other ODE gives

Since
, it follows that
. The ODE in
has characteristic equation

with roots
, admitting the characteristic solution

From the initial conditions we get



So we have

Take the derivative and multiply it by -1/4 to get the solution for
:

[tex}r - 5 \frac{5}6 + 5\frac{5}6 = 10 +5\frac{5}6{/tex]
In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.
So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.
If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.
Be more specific. The decimal can be anywhere give more detail