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3 years ago

A parachutist's speed during a free fall reaches

2 answers:

8 0

"Dimensional analysis" is the primary way to make conversions between any units. Some have trouble because they fail to make it an important point to label units, but labeling units correctly makes tracking and making any conversion very simple...The process and thinking is that you want to cancel out units that you don't need in the solutions...

(198ft/s)(12in/ft)(2.54cm/in)(m/100cm)=60.3504m/s (and that is exact)

d=5s(60.3504m/s)=301.752m

ugh...assume that a meter equals 3.3 feet and do not round your answers???
really? These people are idiots when there is an exact conversion. What is the point of not rounding when you are using a horrible approximation? :D

(198ft/s)(m/3.3ft)=60m/s

d=5s(60m/s)=300m

tatiyna3 years ago

6 0

Answer:

We have been given the conversion rate as:

1 meter is equal to 3.3 feet.

Given condition is :

A parachutist's speed during a free fall reaches 198 feet per second.

So, the speed in meters per second is = $\frac{198}{3.3}$ meter per second

= 60 meter per second.

And at this speed, the parachutist will fall $60\times 5=300$

= 300 meters

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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

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So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

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Savatey [412]

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