Hi, my name is Charles and I'm one of the math teachers from the Maxim Workshop. I'm just going to now teach you how to do some math. Hi, I'm going to show you how to calculate the acceleration of a moving object. The first thing we want to do is understand the type of question that you might arise with a particular example or even a text book quesiton. And then we can move on to the specific calculation. So the scenario that we are going to give you that would be common within your textbooks and your exams is one with a moving car. So, what first of all happens is that you have to understand the variables involved. You might have to deal with a car and the acceleration is denoted by A double arrows. And as well, the two things that you obviously physically have are the initial velocity that moves them and the final velocity that moves them. So when it was here, it would have had an initial velocity. And when it gets here, it will have a final velocity. Okay? So all of this will occur over a given time period. Now, we will put this here. Now, an equation that links time acceleration initial velocity and final velocity is basically this one A equals V which is the final velocity subtracting the initial velocity divided by T which is the time period it takes for this car to move from its initial velocity to its final velocity. Now, the values that we are looking for here are one for speed, one for acceleration and time. Time occurs in seconds, acceleration occurs in meters per second squared, and initial and final velocity both have meters per second. Okay? So the first scenario we are going to deal with is one where your initial velocity is less than your final velocity so I and acceleration. So imagine if this was travelling, the car, was travelling at 2 meters per second at the beginning of its motion. And then, the car was travelling at 4 meters per second. And the time that it takes for this car to move from 2 meters per second to 4 meters per second is approximately 3 seconds. Okay? Now, we would want to calculate the acceleration. So V minus U is basically 4 take away 2. And you have your seconds as 3 seconds, so we have 3 on the bottom. So 4 take away 2 is basically 2. And 3 divided by 3, and that gives you 2 thirds. Remember the units of acceleration are meters per second squared. Okay? So this is your answer. Now, the second situation is where your initial velocity is bigger than your final velocity. I am implying a deceleration, so your car is going slower. So we will use the same time period as before, but we will change these particular values for our initial velocity and our final velocity. So our initial velocity which we are denoting as U has a value of 5 meters per second. And our final velocity which we are denoting as V has a value of 1 meter per second. So you can see that the car was travelling faster here than it was travelling here which is at the end. So our final velocity which will go in first is V minus U has got to be 1 minus U which is 5 divided by 3. Okay? So when we resolve what this is, we have 1 take away 5 minus 4 divided by 3 and we have an improper fraction. So what we are going to do is change this first of all, and we are going to say 3 goes into 4 once and leave the remainder of a third. Okay? So 4 thirds will give you 1 third and 3 thirds which is actually just equal to 1 so that is negative 1 third. Okay? And that gives you meters per second squared. Now, obviously with a fraction that pretty much would like this negative 1.33 recurring. Okay? And then meters per second. But I mean, the only thing you would be concerned with is just changing that improper fraction into a proper fraction and then obviously writing out the units. So, but this extension is just to see how you would change this into a decimal. So this is sufficient. And that is how you calculate the acceleration of a moving object. .

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