Ap Definition and 690 Threads

Hello. I am joining this forum in hopes of expanding my physics knowledge and improving my accuracy in my current AP Physics Class. This class has been awful. I am normally top of my class, including AP Calculus BC, so I have a firm grasp of studying and mathematics. I am hoping to be a...

I'm guessing this question can be solved using the law of conservation of momentum Vi = 5 m/s (5 m/s) M = (4.33 m/s) cos30 M + V sinθ M I don't know what to do after this... I'm also not sure if I use the sin and cos correctly.

I was trying to incorporate this lab into the course, but when I try using a tuning fork on the FFT/Spectrum Analyzer app I can't get a well defined frequency reading. I tried doing the same thing on an opensource FFT app and had the same issue. I am thinking most laptop microphones these days...

Greetings to all. I'm looking for the best textbook for introductory physics that has clear explanations and is problem-oriented. I'd also appreciate any recommendations for textbooks for the AP Physics 1 exam.

My HS senior son is taking AP Calc this year and struggled with the first quiz, which was a review of some more difficult algebra - factoring higher degree polynomials, simplifying complicated fractions etc. Ordered him Schaum’s Int algebra for practice problems, but curious about any advice...

What are some of the hardest concepts to learn in AP E&M? I am going to prepare for the exam with my previous physics teacher. I am currently a senior enrolled in AP Calc BC, and I already took AP Mechanics.

Hi! Feel free to yell at me if this is the wrong forum; I'm a little new at this. I'm self-studying AP Physics 1 and 2 this year, and so far it's going quite well! My only fear is that, because I don't have a specific AP Physics teacher, there may be something really important about the...

Hellooooooo I am a rising 11th grader that is participating in my school's AP Seminar program. As an aspiring astrophysicist, I wanted to do a research project on some sort of topic in this area. Any ideas? Just to give a background of my knowledge/ the level I am at, I am going into AP calculus...

If you have a collection of questions (possibly with your answers) that students have asked during AP Physics or PHY 101 (so high school or college level physics) I would love to hear from you. As "experts", it is very difficult for us to imagine the questions that novices (first time learners...

The point A is located on the coordinate (0, 5) and B is located on (10, 0). Point P(x, 0) is located on the line segment OB with O(0, 0). The coordinate of P so that the length AP + PB minimum is ... A. (3, 0) B. (3 1/4, 0) C. (3 3/4, 0) D. (4 1/2, 0) E. (5, 0) What I did: f(x) = AP + PB...

1/2mv^2 = 1/2mv^2 - 1/2kx^2 but can't plug in numbers for x or m mv+mv=mv+mv but no mass given very lost

$\tiny{2.8.1}$ The vertical circular cylinder has radius r ft and height h ft. If the height and radius both increase at the constant rate of 2 ft/sec, Then what is the rate at which the lateral surface area increases? \een $\begin{array}{ll} a&4\pi r\\ b&2\pi(r+h)\\ c&4\pi(r+h)\\ d&4\pi rh\\...

screen shot to avoid typos OK the key said it was D I surfed for about half hour trying to find a solution to this but $f'(0)$ doesn't equal any of these numbers $e^0=\pm 1$ from the $e^{(x^2-1)^2}$ kinda ?

ok I thot this was just observation to get b. but maybe not I saw some rather hefty substations to get different answers

$\tiny{4.2.5}$ $\displaystyle\int^1_0{xe^x\ dx}$ is equal to $A.\ \ {1}\quad B. \ \ {-1}\quad C. \ \ {2-e}\quad D.\ \ {\dfrac{e^2}{2}}\quad E.\ \ {e-1}$ ok I think this is ok possible typos but curious if this could be solve not using IBP since the only variable is x

screenshot to avoid typos I picked B just could see the others as definite insights?

Evaluate $\displaystyle\int\dfrac{e^{2x}}{1+e^x} \, dx=$ $a.\quad \tan^{-1}e^x+C$ $b.\quad 1+e^x-\ln(1+e^1)+C$ $c.\quad x-x+\ln |1+e^x|+C$ $d.\quad e^x+\frac{1}{(e^x+1)^2}+C$ $e.\quad {none}$ ok I was going to use $u=1+e^x\quad du=e^x dx$ but maybe not best btw I tried to use...

$\displaystyle\lim_{x \to 0}\dfrac{1-\cos^2(2x)}{(2x)^2}=$ by quick observation it is seen that this will go to $\dfrac{0}{0)}$ so L'H rule becomes the tool to use but first steps were illusive the calculator returned 1 for the Limit

1. $f(x)=(2x+1)^3$ and let g be the inverse function of f. Given that$f(0)=1$ what is the value of $g'(1)$? A $-\dfrac{2}{27}$ B $\dfrac{1}{54}$ C $\dfrac{1}{27}$ D $\dfrac{1}{6}$ E 6 2. given that $\left[f(x)=x-2,\quad g(x)=\dfrac{x}{x^2+1}\right]$ find $f(g(-2))$...

by observation I choose (c) since the limit values may not be =

https://apcentral.collegeboard.org/pdf/ap-2020exam-sample-questions-physics-c-mechanics.pdf For 1 b) how did they get that equation? Is it wrong?

I thot I posted this before but couldn't find it ... if so apologize Let f be a function that is continuous on the closed interval [2,4] with $f(2)=10$ and $f(4)=20$ Which of the following is guaranteed by the $\textbf{Intermediate Value Theorem?}$ $a.\quad f(x)=13 \textit{ has a least one...

$\displaystyle\pi\int_{0}^{\infty} e^x \ dx = \pi$ Ok I looked at some of the template equations but came up with this.

Evaluate $\displaystyle\int{\dfrac{{(1-\ln{t})}^2}{t} dt=}$ $a\quad {-\dfrac{1}{3}{(1-\ln{t})}^3+C} \\$ $b\quad {\ln{t}-2\ln{t^2} +\ln{t^3} +C} \\$ $c\quad {-2(1-\ln{t})+C} \\$ $d\quad {\ln{t}-\ln{t^2}+\dfrac{(\ln{t^3})}{3}+C} \\$ $e\quad {-\dfrac{(1-\ln{t^3})}{3}+C}$ ok we can either expand...

$\textsf{What is the area of the region in the first quadrant bounded by the graph of}$ $$y=e^{x/2} \textit{ and the line } x=2$$ a. 2e-2 b. 2e c. $\dfrac{e}{2}-1$ d. $\dfrac{e-1}{2}$ e. e-1Integrate $\displaystyle \int e^{x/2}=2e^{x/2}$ take the limits...

Ok I thot I posted this before but after a major hunt no find Was ? With these options since if f(x) Is a curve going below the x-axis Is possible and () vs [] If this is a duplicate post What is the link.. I normally bookmark these Mahalo ahead

If $f^{-1}(x)$ is the inverse of $f(x)=e^{2x}$, then $f^{-1}(x)=$$a. \ln\dfrac{2}{x}$ $b. \ln \dfrac{x}{2}$ $c. \dfrac{1}{2}\ln x$ $d. \sqrt{\ln x}$ $e. \ln(2-x)$ ok, it looks slam dunk but also kinda ? my initial step was $y=e^x$ inverse $\displaystyle x=e^y$ isolate $\ln{x} = y$ the...

ok well it isn't just adding the areas of 2 functions but is $xf(x)$ as an integrand Yahoo had an answer to this but its never in Latex so I couldn't understand how they got $\dfrac{7}{2}$

https://www.physicsforums.com/attachments/9542 ok all I did was count squares so about 21

$\displaystyle g'=2xe^{kx}+e^{kx}kx^2$ we are given $ x=\dfrac{2}{3}$ then $\displaystyle g'=\dfrac{4}{3}e^\left(\dfrac{2k}{3}\right)+e^\left({\dfrac{2k}{3}}\right)\dfrac{4k}{9}$ ok something is ? aren't dx supposed to set this to 0 to find the critical point did a desmos look like k=-3 but ...

https://www.physicsforums.com/attachments/9527 ok from online computer I got this $\displaystyle\int_0^x e^{-t^2}=\frac{\sqrt{\pi }}{2}\text{erf}\left(t\right)+C$ not sure what erf(t) means

ok I chose e for the zeros

OK, this can only be done by observation so since we have v(t) I chose e but the eq should have a minus sign. here the WIP version of the AP Calculus Exam PDF as created in Overleaf https://documentcloud.adobe.com/link/track?uri=urn%3Aaaid%3Ascds%3AUS%3A053a75d8-ca5b-4447-bd65-4e580f0de793...

ok I got stuck real soon... .a find where the functions meet $$\ln x = 5-x$$ e both sides $$x=e^{5-x}$$ok how do you isolate x? W|A returned $x \approx 3.69344135896065...$ but not sure how they got itb.? c.?

yes I know this is a very common problem but likewise many ways to solve it ok I really have a hard time with these took me 2 hours to do this looked at some examples but some had 3 variables and 10 steps confusing to get the ratios set up... ok my take on it is here see if you can solve...

ok I chose c being false, since a limit does not exist if f(x) is different coming from $\pm$

image due to graph, I tried to duplicate this sin wave on desmos but was not able to. so with sin and cos it just switches to back and forth for the derivatives so thot a this could be done just by observation but doesn't the graph move by the transformations well anyway?

ok this one baffled me a little but isn't $g = e^{-t^2}$and the graph of that has an inflection point at x=1

A particle moves along the x-axis. The velocity of the particle at time t is $6t - t^2$. What is the total distance traveled by the particle from time $t = 0$ to $t = 3$ ok we are given $v(t)$ so we do not have to derive it from a(t) since the initial $t=0$ we just plug in the $t=3$ into $v(t)$...

I tried to do this just by observation, but kinda hard with a piece wise function so would presume

ok these always baffle me because f(t) is not known. however if $f'(t)>0$ then that means the slope is aways positive which could be just a line. but could not picture this to work in the tables. Im sure the answer can be found quickly online but I don't learn by copy and paste. d was...

I think I have solved the first three, and only really need help on question four. For number one, I used Fc = (Mv^2)/R and just rearranged it for velocity so I ended up with v = sqrt(ac * R) For number 2 I used Ff = Fn*mu and got Mg*mu = Ff For number 3 I used w = Ff*d and got w = -Mg*mu*l...

image due to macros in Overleaf ok I think (a) could just be done by observation by just adding up obvious areas but (b) and (c) are a litte ? sorry had to post this before the lab closes

image due to macros in overleaf well apparently all we can do is solve this by observation which would be the slope as x moves in the positive direction e appears to be the only interval where the slope is always increasing

If $f(x)=7x-3+\ln(x),$ then $f'(1)=$ $a.4\quad b. 5\quad c. 6\quad d. 7\quad e. 8$ see if you can solve this before see the proposed solution

ok image to avoid typo... try to solve before looking at suggested solutions ok I think you could do this by observation if you are careful with signs

The graph of $y=e^{\tan x} - 2$ crosses the x-axis at one point in the interval [0,1]. What is the slope of the graph at this point. A. 0.606 B 2 C 2.242 D 2.961 E 3.747ok i tried to do a simple graph of y= with tikx but after an hour trying failed doing this in demos it seens the answer is...

309 average temperature $$\begin{array}{|c|c|c|c|c|c|c|} \hline t\,(minutes)&0&4&9&15&20\\ \hline W(t)\,(degrees Farrenheit)&55.0&57.1&61.8&67.9&71.0\\ \hline \end{array}$$ The temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W. where...