- #1
ardentmed
- 158
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Hey guys,
I need some more help for this problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help.
This is only for question 1. Ignore 2.
Question:
For the first one, drawing out the question clearly tells us that we are working with a 90 degree triangle. Thus, we can calculate the angle via cosØ and the Pythagorean formula.
The derivative thereof is:
-sinØ dØ/dt = [dx/dt (s) - ds/dt (x)] / s^2
We can substitute for values and solve for ds/dt, which leads to:
ds/dt = 1.73205 m/s (is this supposed to be an exact value?
Thus, dØ/dt can be calculated via substitution of the newly calculated ds/dt value. From isolation, we get:
dØ/dt = -0.055 m/s (or decreasing at a rate of 0.055 m/s. I'm highly doubtful of my response to this question.
Thanks in advance.
I need some more help for this problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help.
This is only for question 1. Ignore 2.
Question:
For the first one, drawing out the question clearly tells us that we are working with a 90 degree triangle. Thus, we can calculate the angle via cosØ and the Pythagorean formula.
The derivative thereof is:
-sinØ dØ/dt = [dx/dt (s) - ds/dt (x)] / s^2
We can substitute for values and solve for ds/dt, which leads to:
ds/dt = 1.73205 m/s (is this supposed to be an exact value?
Thus, dØ/dt can be calculated via substitution of the newly calculated ds/dt value. From isolation, we get:
dØ/dt = -0.055 m/s (or decreasing at a rate of 0.055 m/s. I'm highly doubtful of my response to this question.
Thanks in advance.