The initial deceleration is 4 m/s^2, so this means that considering the first line segment, .
The total distance traveled is 4 km, which is equal to 4000 meters. This is equal to the area under the graph, so .
All you have to do is add exponents when multiplying like monomials. So it's just 4^2
This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)
I know that from least to greatest is C
The decimal as a percent is A
36% as as a fraction is C
8% as a decimal is A
7/8 as a percent is B
Equation
10x1/2+(-6) (-3)
Answer
23