Download The following table converts degrees Fahrenheit to degrees

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Transcript
Class Activity # 4
SCI 1300
(1) When a cold yam is put into a hot oven to bake, the temperature of the yam rises. The
rate R (in degrees Fahrenheit per minute), at which the temperature of the yam rises,
is governed by Newton’s Law of Heating, which says that the rate is proportional to
the temperature difference between the yam and the oven. If the oven is at 350ºF, and
the temperature of the yam is H ºF,
a. Write a formula giving R as a function of H.
b. Sketch the graph of R against H.
R
H
100
200
300
1 of 2
400
500
Class Activity # 4
SCI 1300
(2) A body of mass m is falling downward with velocity v. Newton’s Second Law of
Motion, F=m a, says that the net downward force, F, on the body is proportional to
its downward acceleration, a. The net force, F, consists of the force due to gravity, Fg,
which acts downward, minus the air resistance, Fr, which acts upward.
The force due to gravity is m g, where g is a constant. Assume that the air resistance
is proportional to the velocity of the body.
a. Write an expression for the net force, F, as a function of the velocity, v.
b. Write a formula giving a as a function of v.
c. Sketch the graph of a against v.
a
v
2 of 2