In 2003, the population of a certain country per square mile of land area was 87. In 2000, the person per square mile population was 84.6. Assume the relationship between years and persons per square mile is a linear relationship.
a. Write an equation, in slope-intercept form, describing the relationship between year and persons per square mile. Use ordered pairs of the form (x,y), where x is the
number of years past 2000 and y is persons per square mile.
b. Use this equation to predict the person per square mile population in 2020,

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Ответ:

victoria6929

18.11.2022

Mathematics

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

${ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}$

substitute:

${ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}$

from second equation of motion:

${ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}$

substitute:

${ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}$

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