300 Creative Physics Problems With Solutions (anthem Learning)

[Cyrille Mixtapes]

This collection of exercises compiled for talented high-school and undergraduate-level students encourages creativity and a deeper understanding of ideas when solving physics problems. This book features almost three hundred problems and solutions worked out in detail, dealing with classical physics topics such as mechanics, thermodynamics, electrodynamics, magnetism and optics. Posed in accessible language and requiring only elementary calculus, these problems are intended to strengthen students' knowledge of the laws of physics by applying them to practical situations in a fun and instructive way. These problems and solutions challenge students of physics, stretching their abilities through practice and a thorough comprehension of ideas.

Jazz is open and free. And yet, jazz itself adheres to some pretty important rules. In some ways, people are playing within that, which is much like democracy. We're given freedom, but we know that freedom has to occur within certain bounds and constraints, not just of the law, but of other people's freedoms, and their desires to express it. So jazz becomes a mirror that way.

For filmmakers, it's particularly hard, because you never want to say, "this is jazz, this is not jazz." And we struggle to embrace a musical form that is almost unembraceable. At the same time, if you don't stop and say, "this is our music, this is where it came from, these are the changes it went through," we would have shirked our responsibility.

There was something about jazz that reminded me of something bigger and larger, more than myself, more than who we are. Jazz was the Holy Ghost. You thought you were in the presence of something that could transform, could transcend the mundane and the ordinary of our lives, and really point in the direction of harmony, not just between people and races and sexes, but between just the normal stuff of everyday life.

Thomas Jefferson created a fault line when he said, "All men are created equal," yet he owned more than 200 human beings, had set in motion for worse, but also for better, the American experience. Because out of that peculiar experience that African-Americans have had, of being un-free in a free land, has come the possibility to teach the rest of us a true battle cry of freedom. That was the anthem of the Civil War. Jazz is our battle cry of freedom.

At the beginning of my baseball film, writer Gerald Earley said that when they study our American civilization, 2000 years from now, we'll only be known for three things; the Constitution, baseball and jazz music. I think what he was saying was that the genius of America is improvisation. Just look at the Constitution. It's four pieces of paper, written at the end of the 18th century, that's able to adjudicate the most complicated problems of this our 21st century.

Baseball is a very simple children's stick and ball game, but with infinite chess-like combinations. And jazz is this music, founded by African-Americans, those who have had the experience of being un-free in this supposedly free land, and what did they create? The only art form that Americans have ever invented, and that is this jazz music, out of which, nearly every other form of music that we enjoy today owes itself. Rap, hip hop, R&B, soul, rock all have their ancestry in jazz music.

Duke Ellington said that Negro America is creative America, that it was a happy day when the first unhappy slave landed on its shores. We normally put African-American history into the coldest and shortest month, February, as if somehow African-American history is at the fringes of American history, when in fact, it's clear that it's at the center of American history. That's the kind of paradox that we as Americans have to deal with all the time. Our greatness has come from standing in the midst of ambiguity and tolerating it. And there have been no greater teachers of how to do that, we're talking about forbearance, than people like Jackie Robinson, people like Frederick Douglas, people like Duke Ellington.

And that forbearance teaches all of us, and we become in the debt of those who are not quick to judge, but look for some mitigating wisdom that can ease the pain of human existence, even in this, the greatest country on earth.

If you can think what a revolution jazz was, up until that point, if you looked at the page, and it was John Phillips Sousa, and it went "dah dah dah, dah dah dah, dah dah dah." That's what you played.

But in jazz you can go "epp dat at dat at," and "dee dee dee." You can make it up the way you want to do it. And it's no less arduous. It's no less rigorous. It's no less demanding of an art form. But what it says is that the genius of America has been to trust the individual. It's just the utter symbol of freedom in it. And this is not freedom without responsibility. This is freedom coordinated with other people.

The first thing we recognized is how controversial it was, how powerful it was emotionally for the people who play it and write about it all the time. We listened to them, and sort of sampled and selected and got a big, rolling machine of a film. It's about two world wars, and a depression, about race, always race, about sex. I mean, this is the music that men and women speak to each other with. It's the mating call, the ritual of courtship.

And it's also about drug abuse and its terrible cost, and extraordinary creativity. Naturally, it's going to be filled with lots of controversy. It's going to touch on lots of social issues. And at the heart, it's going to be about joy, about communication, about this language that is so much more precise than my moving my mouth right now.

We tend to have a hard time talking about music, and somehow we think it's the failing of the music. It's not. It's the failing of the words. Music is itself a much more exquisite, much more precise form of communication. We human beings are just often a little bit too slow to get it completely. But, we made this film for a broad national audience. We didn't make it to please the jazz critics. We made it to please a broad national audience, because this is our birthright. This is who we are. This is the celestial music of America. And I want a little old lady in Dubuque to tap her toes to all of this stuff. And I think we've done it.

We have in our ten episodes, nearly 19 hours film, 497 separate pieces of music. We've got 2,000 archival film footage bits and more than that in still pictures, most of it rare and never before seen, 75 interviews. But at the heart of it is this music. From the very beginnings as Ragtime and the other music in New Orleans began to transform into this music we call jazz, through all its changes and all its mutations and permutations, up to the present moment.

One of the last scenes is visiting a high school, where the kids are playing jazz. And you look into the eyes of these enthusiastic kids and see the future of our music. As a filmmaker, it posed the most difficult challenge, because most of the time, music is background, the amplification of the emotion that's in a scene. Here, we had to move that to the foreground, and it had to work in many different ways.

Sometimes we stop and just play a whole tune, by itself. Other times we're talking about a specific tune, but talking in and among it, in the pauses, where we think we can get away with some chatter. Other times, we're speaking about a kind of music, and you're hearing it in the background.

We went to lots of jazz clubs on this. You have to, to understand how this music is made. We keep forgetting that jazz has gotten some sort of, I think, completely erroneous reputation as being this difficult music that you can't get into and most people don't listen to it. But if you go around the world, jazz is a symbol of freedom. Jazz is one of the greatest exports we have. Jazz tells the rest of the world not only who we are, but who they might be, if they get hip, if they can swing, if they can really understand what the notion of freedom is.

So for us, in order to make the film, we had to go to these jazz clubs and stay up 'till 3 AM and see this amazing thing. I mean, we're talking about men and women who can do something that the rest of us can only dream of, which is create art on the spot. It's unbelievable.

A sculptor brings in a huge block of stone to the studio and starts to hammer away. And in the beginning you have an idea of what you want to do. Every chip that you knock off, you have to honor. Because once you get to that final shape, if you're not aware that the negative space, that rubble on the floor, is equally important to what you have there, then you've missed the point.

So the filmmaker's task, the filmmaker's part, is to try to figure out a structure that is this communicating gift to the audience, and at the same time, honor the terrible triage that takes place from having lost all the other things you can't put in. Where do you begin? How do you stop? These are all the questions, and 10 episodes in 19 hours, people think there hasn't been stopping.

But each episode is carefully crafted. Within it, each of the 15 or so chapters is carefully crafted. Each scene within that is carefully crafted, so as to keep your attention, and not let your interest move away. So over the 10 episodes, we think we've developed this epic story of America, through the story of jazz. But that involves a great deal of choices, literally millions and millions of choices, that more often that not, leave scenes as good as are in the film, on that cutting room floor, on the rubble in the sculptor's studio. Not because they're not good, but because as the shape emerges, as the shape arises, sacrifices have to be made. It's just like, why do you choose to play that note and not this note?

c80f0f1006