# ELA

HELP ASAP.
11. This question has two parts
1. List some important ideas that Johnny Tremain includes. Why did you choose those ideas?
2: tell how using a reading roll helped you understand the book. the reding roles are described in unit 4 lesson 1 slide 4. support your response with at least two pieces of evidence from the novel.

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Problem Statement
It starts snowing in the morning and continues steadily throughout the day. A snowplow that removes snow at a constant rate starts plowing at noon. It plows 2 miles in the ﬁrst hour, and 1 mile in the second. What time did it start snowing?
Solution
Let t be the time measured in hours after noon. Let x(t) be the distance the snowplow has travelled. Let h(t) be the height of the snow at time t. Let α be the constant rate of snow removal. (in any convenient unit) Let k be the constant rate at which snow falls. (in any convenient unit) Let b be the (unknown) number of hours before noon that it started snowing.
The change in height is given by the rate the snow falls,
d dt
h(t) = k ⇒ h(t) = kt + c h(-b) = 0, c = kb. h(t) = k(t + b)
The rate α is proportional to the cross-section of the snow being plowed and the speed of the truck. Let’s assume the width of the road is a constant ω. Then α = ω h(t) d dtx(t). Rearranging, we ﬁnd that
d dt
x(t) =
C t + b
C = α kω
Which is a separable diﬀerential equation. Integrating both sides yields x(t) = Cln|t + b|+ D Plugging in the condition x(0) = 0 gives the constant of integration D = −Cln(b). Plugging in the other two conditions x(1) = 1(mi). and x(2) = 2, then lets us solve for b = .618hr. So the snow began about 37 minutes before noon. That is, at about 11:23 am

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2. Wtf

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