## Track Field Training How to Increase Your Vertical Jump

Hi I'm Les Whitley. I'd like to take a fewminutes now and talk to you about how to improve your vertical jump. Your vertical jump isagain your ability to push force into the ground to propel your body upward overcomingthe forces of gravity, traveling upward through space. Knowing where you start or knowingwhere your vertical jump is to begin with is a great way to start. Once you identifywhat your vertical jump is usually measured in inches you know where you want to go andhow far you want to progress from as little as a gain of one inch up to three inches overthe course of a six to a twelve week time frame is actually a pretty good improvement.Putting force in the ground means that you

have got to get stronger, utilizing exercisessuch as the squat, to develop a good base of power for the lower body but then alsomaximizing the transfer of that power through incorporating exercises like the power cleanor the overhead snatch, the olympic movements which involve very speed oriented movementsto that you are maximizing that power output in minimal time. The vertical jump is a veryquick movement. You are putting maximal force in a very short amount of time. The otherthing becomes technique ideally setting yourself up as a spring, springing and loading yourselfup into a position, not to overcompensate by staying too long in a deep position sothat the muscles become taxed and fatigued.

You want to set yourself up by causing a nicespring effect swinging your arms down which preloads those muscles engaging the musclesof the hips, the muscles of the lower body, the calves and then forcefully swinging yourarms up high to again maximize that vertical leap so arms start up high, forceful drivedown and then rebound for maximal height.

### How to Find Any Limit mathbff

Hi guys! I'm Nancy and I'm going to show you how to find the limit at a value, at a finite value. Limits are kind of a mess, so I made a couple tutorials and here are some links to my other tutorials If you just want an introduction to the limits, what do they mean check out the introduction tutorial. If you are looking for how to find the limit at infinity check out the limits at infinity tutorial.

But this is how to find the limit at a value, at a finite value so let's look at the types I'm going to cover. OK, these are the first four of seven ways to find the limit at a value, a finite value. They are the four main ways, most common strategies. If you already see the kind you're wondering about the kind of problem you're working on, you can skip ahead. You can use the links in the tutorial to skip directly to that part

or you can check the description to find the exact time to skip to. So let's look at them. The first is to plug in, if you can. If you can't, and I'll show you why you might not be able to. try factoring, if possible. If not, see if you can get a common denominator. That means if you have something that looks like a fraction within a fraction a complex rational expression you might be able to get a common denominator.

If not, see if you can expand. Open up parentheses and expand simplify and then find the limit. These four cases cover most of the kind of limit problems at a finite value that you would get. Ninety percent of them. But there are a few oddball, miscellaneous, misfit cases that come up. so let's look at those OK, these are the three miscellaneous, oddball cases.

If you're looking for one of these, I lied. They're not actually in this tutorial but you can use the links in this tutorial to jump to that tutorial where I explain these or look in the description for the tutorial link. Basically, if you have a square root in a fraction, in the numerator or something like sin x over x, or absolute value, you'll need these strategies but forget about those for now. Let's look at the four most common strategies. OK, with these limit problems, the first thing you should always try is to plug in the value. Plug in 4 for x

everywhere x appears, and see if you get a value for the limit. OK, so you got an actual number for the limit, a finite value fivesevenths, is a finite unique number. That is your limit. The limit is equal to fivesevenths, and you're done. But if you ever get a zero in the bottom, in the denominator or the form zero over zero, which is indeterminate you have not found the limit. You're not done, you'll need another way, another technique.