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otez555 [7]
3 years ago
5

Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

rium, bounces to it maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds. (think about amplitude and period)
Mathematics
1 answer:
olasank [31]3 years ago
6 0
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
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Equation of a line, in general form, that is perpendicular to 2x-3y + 7 = 0 and passes through the point (-3/4, 1)
TEA [102]

Answer:

  12x +8y +1 = 0

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You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:

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_____

<em>Comment on the equation</em>

The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.

The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.

4 0
3 years ago
A woman buys 4metres of cloth costing $40 per metre, and 6metres of cloth costing $45 per metre. How much will she pay altogethe
murzikaleks [220]

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3 0
3 years ago
Read 2 more answers
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