Where else might you encounter this type of problem in the real world? Air balloons! A hot air balloon is pretty much at the mercy of the winds, so it's easy to calculate the component forces and velocities to determine the path of travel. Let's try one...
[am4show have='p9;p58;' guest_error='Guest error message' user_error='User error message' ]
Wow! If you followed all that, you have a good working understanding of how to use math (like vectors and equations) to solve real world problems! Don't forget - the most important thing you do is READING and UNDERSTANDING the problem. Don't get hooked by shiny equations and spiffy calculations, when sometimes the answer is as simple as dividing one number by another. I can't tell you how many students make this physics stuff way harder than it has to be because they're sure they have to use fancy stuff to get the right answer. They waste time they could have spend doing fun stuff (like science experiments!) struggling over getting equations to fit together without understanding what those equations represent in the first place.
[am4show have='p9;p58;' guest_error='Guest error message' user_error='User error message' ]
Wow! If you followed all that, you have a good working understanding of how to use math (like vectors and equations) to solve real world problems! Don't forget - the most important thing you do is READING and UNDERSTANDING the problem. Don't get hooked by shiny equations and spiffy calculations, when sometimes the answer is as simple as dividing one number by another. I can't tell you how many students make this physics stuff way harder than it has to be because they're sure they have to use fancy stuff to get the right answer. They waste time they could have spend doing fun stuff (like science experiments!) struggling over getting equations to fit together without understanding what those equations represent in the first place.