Distance-function and velocity-function problem

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The discussion focuses on a distance-function and velocity-function problem involving a distance function f(t) defined at constant velocity. The user has filled in several blanks related to the problem, including that the distance function is f(t) = vt and the velocity remains constant at 55 when f(t) = 55t or f(t) = 55t + 1000. The user is uncertain about the value for K and seeks clarification on whether their answers are correct. It is confirmed that the answers are mostly correct, except for the value of J. The main confusion lies in understanding the specific request for K in the context of the problem.
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The problem is three paragraphs with a bunch of blank spots.

Starting from f(0) = 0 at constant velocity v, the distance function is f(t) = __[A]__. When f(t) = 55t the velocity is v = ____. When f(t) = 55t + 1000 the velocity is still __[C]__ and the starting value is f(0) = __[D]__. In each case v is the __[E]__ of the graph of f. When __[F]__ is negative, the graph of __[G]__ goes downward. In that case area in the v-graph counts as __[H]__.

Forward motion from f(0) = 0 to f(2) = 10 has v = ____. Then backward motion to f(4) = 0 has v = __[J]__. The distance function is f(t) = 5t for 0 <= t <= 2 and then f(t) - __[K]__.

_____________________________________________

There's more to the problem than this, but [K] is where I get stuck, not understand the problem. My answers thus far are:
[A] = vt, = 55, [C] = 55, [D] = 1000, [E] = slope, [F] = v, [G] = f, [H] = f, = 5, [J] = 0.

First, am I doing this correctly? And second, what precisely is K asking me for?
 
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Matthewkind said:
The problem is three paragraphs with a bunch of blank spots.

Starting from f(0) = 0 at constant velocity v, the distance function is f(t) = __[A]__. When f(t) = 55t the velocity is v = ____. When f(t) = 55t + 1000 the velocity is still __[C]__ and the starting value is f(0) = __[D]__. In each case v is the __[E]__ of the graph of f. When __[F]__ is negative, the graph of __[G]__ goes downward. In that case area in the v-graph counts as __[H]__.

Forward motion from f(0) = 0 to f(2) = 10 has v = ____. Then backward motion to f(4) = 0 has v = __[J]__. The distance function is f(t) = 5t for 0 <= t <= 2 and then f(t) - __[K]__.

_____________________________________________

There's more to the problem than this, but [K] is where I get stuck, not understand the problem. My answers thus far are:
[A] = vt, = 55, [C] = 55, [D] = 1000, [E] = slope, [F] = v, [G] = f, [H] = f, = 5, [J] = 0.

First, am I doing this correctly? And second, what precisely is K asking me for?

[J] is incorrect. The others are correct.
 
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