# Distance and acceleration relationship

### Distance, Velocity, Acceleration

There is a relationship between distance, velocity and acceleration. When you understand how they interact, and their equations they become. Distance, Velocity, and Acceleration In considering the relationship between the derivative and the indefinite integral as inverse operations, note that the. Home» Applications of Integration» Distance, Velocity, Acceleration that will later be applied to distance-velocity-acceleration problems, among other things.

It's written like a polynomial — a constant term v0 followed by a first order term at.

## Equations of Motion

Since the highest order is 1, it's more correct to call it a linear function. It is often thought of as the "first velocity" but this is a rather naive way to describe it. A better definition would be to say that an initial velocity is the velocity that a moving object has when it first becomes important in a problem. Say a meteor was spotted deep in space and the problem was to determine its trajectory, then the initial velocity would likely be the velocity it had when it was first observed.

But if the problem was about this same meteor burning up on reentry, then the initial velocity likely be the velocity it had when it entered Earth's atmosphere. The answer to "What's the initial velocity? This turns out to be the answer to a lot of questions.

### Equations of Motion – The Physics Hypertextbook

The symbol v is the velocity some time t after the initial velocity. Take the case of the meteor. What velocity is represented by the symbol v? If you've been paying attention, then you should have anticipated the answer. You'll have to specify this a little more before we can answer. Is there constant acceleration until that velocity is reached, then the acceleration stops? If so, I bet you could solve it yourself.

Or is there, more plausibly, one of these other situations which also lead to limiting velocities: This applies to objects whose terminal velocities correspond to small Reynold's numbers.

This applies to objects whose terminal velocities correspond to larger Reynold's numbers, including typical large falling objects. Some other effect not in the list? I think you're looking too much into my question.

I don't understand what 'reynold's numbers' are. Or the time be if distance is given, but not time?

I'm also wondering if the formula gets adjusted at all to compensate for a velocity limit? If the acceleration remains constant, you can't have a maximum velocity. The velocity will just get bigger and bigger in the direction of the acceleration. A ruler optional Preparation Take a long cardboard tube and cut it straight along one of its long sides. Then cut it along the other side so that you end up with two long pieces that are each semicircles.

You will use one of these pieces as the ramp for the marble. Take one of the semicircle pieces you just cut and raise one end slightly by placing it on a thin book or small block no thicker than one inch—you want a low slope so that the marble does not roll too fast to measure.

Use the permanent marker to mark a starting line across the high end of the ramp, about one-half inch from the end. You ramp is now ready for some marble-rolling action! Procedure Set the timer for one second and then hold a marble in place at the starting line.

At the exact same time as you start the timer, release the marble being careful not to give it a push as you let it go. At the same time, be ready with the marker to note the location of the marble after the second is up. If you have a helper, have them watch the marble for you. Use the permanent marker to mark where the marble was one second after releasing it. How far did the marble travel?

### Relationship between acceleration and distance | Physics Forums

Repeat this process at least nine more times. This means you should end up with at least ten different marks on the ramp, showing where the marble was one second after releasing it each time. Did the marble travel similar distances each time? Repeat this process, but this time mark where the marble is at two seconds after releasing it. Do this at least 10 times, so that you have made at least 10 more marks on the ramp. How does the distance the marble traveled after one second compare to the distance it traveled after two seconds?

Specifically, how does the distance between the starting line and the one-second marks compare to the distance between the one-second marks and the two-second marks?

If you have a ruler, you can measure the distance the marble rolled each time from the starting line. Overall, how did the distance the marble traveled change as it rolled down the ramp for a longer amount of time?