![]() These are just plain old through the hoop shots. If I vary the launch angles from 35° to 70° and I vary the launch speed from 7 m/s to 11 m/s, which combinations would result in a goal? Remember that I am not looking at backboard shots or ones that spin around the rim. The basketball has a radius of about 12 cm. The basketball rim has a diameter of about 45 cm.I doubt I will need to go much faster than that. What ranges of initial speeds seem reasonable? I will start with something low like 5 m/s and move up to about 15 m/s.How about I start with a distance of 5.5 meters. What about the distance from the basket? The three point line is around 7 meters (depending on the type of court).Let me assume a release height of 2 meters. The height of the rim is 3.05 meters above the ground.And to do that, I will need some starting values. To make things a little easier, I will switch to numerical mode. It is not so trivial to solve for the angle needed if you know the speed. Honestly, it is pretty simple to solve for the initial speed needed to hit a certain spot if you know everything else. Now what? Well, I could solve for a number of things - but really I am looking for relationships between the variables. This means that my two kinematic equations become: If I want to refer to the starting height of the ball, I will call that p (for person). Let me call the difference in height of the starting and ending points h. If I put the origin at the starting location of the ball, then I can get rid of one of the heights. Let me start with this diagram:Īctually, I just realized something. Ok, now some variable to use in this basketball situation. If you are the coach and your players are shooting straight, maybe you could practice shooting straight. I will just assume the shooter can aim straight. ![]() I am not going to look at the side to side variation in a shot. So, whether it is true or not, I am not going to add air resistance. Boy, that would be a pain in the rear if I had to consider air resistance. ![]() I think that in this situation, it is safe to assume that air resistance is negligible.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |