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TN17
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Trig Functions - "When wil object be 9cm below 0?"
Here is the background information:
A weight hanging from a spring is set in motion by an upward push. It takes 10 s for the weight to complete one cycle from moving 12 cm above 0, then dropping 12 cm below 0, then returning to 0.
Here is the question:
d) In the first 10 s, when will the height of the weight be 9 cm below 0?
I found the equation to be y=12sin (Pi/5)(x)
Since k=2Pi/10 = Pi/5 and the vertical stretch is 12.
I set y=-9 because the weight is below 0, and solved for x, but I didn't know how to continue from there.
-9 = 12sin(Pi/5)(x)
There are 2 answers, 6.3 s and 8.7 s
Homework Statement
Here is the background information:
A weight hanging from a spring is set in motion by an upward push. It takes 10 s for the weight to complete one cycle from moving 12 cm above 0, then dropping 12 cm below 0, then returning to 0.
Here is the question:
d) In the first 10 s, when will the height of the weight be 9 cm below 0?
Homework Equations
I found the equation to be y=12sin (Pi/5)(x)
Since k=2Pi/10 = Pi/5 and the vertical stretch is 12.
The Attempt at a Solution
I set y=-9 because the weight is below 0, and solved for x, but I didn't know how to continue from there.
-9 = 12sin(Pi/5)(x)
There are 2 answers, 6.3 s and 8.7 s