Okay this is what I did:
We know that the horizontal speed remains constant, so
x = v_{0,x}t
v_{0,x} = \frac{x}{t} = \frac{40.377 m}{2.692 s} = 14.99 \frac{m}{s}
Then for the vertical component,
v^2_{y} = v^2_{0,y} - 2g \Delta y
v_{0,y} = \sqrt{2gΔy} = 17.15 \frac{m}{s}
So the speed is...
Homework Statement
The question I am struggling with is the second version of a similar problem so to make it easier for me to receive assistance, I'll post both parts:
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an...
I didn't find Spivak difficult, just Apostol was too different in the way he presents the material. But thank you very much, I will definitely look into Stewart.
To clear up your confusion, my intent was to study calc I and II with proof hence those textbooks, because I feel that the AP curriculum (advanced placement) isn't so strong when I look at some exploratory exercises from those textbooks about topics that I am familiar with.
Hello, I am a recent high school graduate and I have recently finished calculus II with one year of calculus I prior (which I took junior year). My major will be physics at the University of Texas and having told that I completed those courses to my advisor he said I seemed bright from the...
(A) seems right to me. As for (B), what happens when you integrate velocity? For (C) it's asking for the limit of the velocity if t is boundless, so what does that mean?
EDIT: Actually, now that I look at your solution for (A), you are forgetting a 't' in the numerator when you apply the...
The coefficients of the power series \sum_{n=0}^{∞}a_{n}(x-2)^{n} satisfy a_{0} = 5 and a_{n} = (\frac{2n+1}{3n-1})a_{n-1} for all n ≥ 1
Sigh, it's been a long day.
By methods, voko meant if you can use integrating factor, Laplace transform, etc, I believe.
As for the dr/dt, have you tried separating the variables so you have the 'r' on one side and 't' on the other?
Homework Statement
The coefficients of the power series \sum_{n=0}^{∞}a_{n}(x-2)^{n} satisfy a_{0} = 5 and a_{n} = (\frac{2n+1}{3n-1})a_{n-1} for all n ≥ 1 . The radius of convergence of the series is:
(a) 0
(b) \frac{2}{3}
(c) \frac{3}{2}
(d) 2
(e) infinite
Homework EquationsThe Attempt at...