Solving Kinematics Problems

Solving Kinematics Problems-10
In physics, one of the major areas of focus is classical mechanics, the study of the motion of objects, as first described by good old Sir Isaac Newton himself.

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They are: Actually, we can break this last one up into vi, for initial velocity, and vf, for final velocity. Now, if he wants to catch up to us in about 10 seconds, how fast does he need to accelerate? The first step to solving a kinematics equation is to figure out what you know and what you don't know. The next step is to figure out which equation to use.

So, if we look at one of these equations - say this one (vf = vi a * t) - what it really says is final velocity equals initial velocity plus acceleration times time. Anyway, as long as you know three of the variables, you can figure out the fourth. To do this, you just look for the equation that can hold the three known variables and the unknown variable you want to figure out.

It is much more powerful than memorizing a list of facts.

Analytical skills and problem-solving abilities can be applied to new situations, whereas a list of facts cannot be made long enough to contain every possible circumstance.

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Anyone can earn credit-by-exam regardless of age or education level.The first two require both distance and acceleration, so that won't work, since we have two unknowns.Here we go: vf = vi a * t We know three of these variables and have one unknown - acceleration.Now we plug it in so it looks like this: 80 = 0 (a * 10) And we solve it.That becomes: 80 mi/hr = a * 10 s 80 mi/hr / 10 s = a 8 mi/hr/s = a So a, or acceleration, is 8 mi/hr/s - not the usual units, but it makes sense if you think about it.These equations are used to calculate unknown information about an objects motion in respect to known variables.In general, as long as you know three of the variables, you can figure out the fourth. I'm pushing 80 mi/hr, going over the speed limit, and we zip past a parked cop car, who turns on his lights and starts chasing us. Yes, we know time, initial velocity, and final velocity.To solve these equations, you need three known variables and one unknown variable.That's the first step to solving a kinematics problem: identifying your known and unknown variables.So if this cop accelerates for 10 seconds, he'll need to gain 8 mi/hr of speed per second to catch us.We can check this by plugging a back into the original equation, making it: 80 = 0 8 * 10 80 = 80 Yep, that checks out.

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