# Relationship between time distance and acceleration

### How are acceleration, time and velocity related? | Socratic

The relationship between distance and velocity is proportional. Distance = velocity x time. If acceleration is involved in the question, the. In this science activity, you will explore the relation between time and acceleration affect the distance that an object travels over time?. late equations to derive these relationships. Basic Concepts Even though we don' t know either the total distance or total time traveled, we can find the average velocity by . tion between the first and second intermediate positions? To do in.

## Relationship between time, displacement, velocity, acceleration. Kinematic.

Remember, however, that these are force vectors, not just numbers. We must add them just as we would add vectors. A simple if-then statement that holds true due to Newton's 2nd Law.

If the mass is not accelerated meaning: This is not to say that there is no force acting on it, just that the sum total of all the forces acting on it is equal to zero -- all the forces "cancel out". Since force is a vector, I can simply focus on its components when I wish.

So, if I have a series of forces acting on a mass, the sum of their x-components must be equal to the x-component of the net force on the mass. And, by Newton's 2nd Law, this must be equal to the mass times the x-component of the acceleration since mass has no direction, and acceleration is also a vector. Similarly as above, if I have a series of forces acting on a mass, the sum of their y-components must be equal to the y-component of the net force on the mass.

And, by Newton's 2nd Law, this must be equal to the mass times the y-component of the acceleration since mass has no direction, and acceleration is also a vector. If we calculate or just know the x- and y-components of the net force acting on an object, it is a snap to find the total net force.

As with any vector, it is merely the sum of its components added together like a right triangle, of course. This equation becomes ridiculously easy to use if either one of the components is zero.

The definition of momentum is simply mass times velocity. Take note that an object can have different velocities measured from different reference frames. Newton's 2nd Law re-written as an expression of momentum change.

This is actually how Newton first thought of his law. It allows us to think of momentum change as "impulse" force over some timeand apply the law in a much simpler fashion. In a closed, isolated system, the total momentum of all the objects does not change. Since "closed" means nothing coming in or going out, we can imagine all our applications talking about a fixed set of objects. Since "isolated" means no interactions with anything outside the system, we must imagine all our applications involve nothing but those objects and forces that we consider.

In two dimensions, the law still holds -- we just pay attention to the components of the total momentum. Here, a' refers to object a after the collision. This equation shows the relationship between arclength sradius rand angle theta - measured in radians.

It is useful for finding the distance around any circular path or portion thereof at a given radial distance. This equation shows the relationship between the period of a pendulum and its length. It was first discovered by Galileo that the arc of a pendulums swing and the mass at the end of a pendulum do not factor noticeably into the amount of time each swing takes.

Only the length of the pendulum matters. The tangential velocity of an object in uniform unchanging circular motion is how fast it is moving tangent to the circle.

Literally the distance around the circle divided by the period of rotation time for one full rotation. The centripetal acceleration of an object in uniform circular motion is how much its velocity because of direction, not speed changes toward the center of the circle in order for it to continue moving in a circle.

The force that is required to keep an object moving in a circular path is the centripetal force acting on the object.

### Physics Equations Page

This force, directed towards the center of the circle, is really just a derivative of Newton's 2nd Law using centripetal acceleration. The work done on an object is found by multiplying force and distance, but there is a catch. The force and distance must be parallel to each other.

Only the component of the force in the same direction as the distance traveled does any work. Hence, if a force applied is perpendicular to the distance traveled, no work is done. The equation becomes force times distance times the cosine of the angle between them.

Work is measured in units of newtons times meters, or joules J. Power is a physical quantity equal to the rate at which work is done. The more time it takes to do the same work, the smaller the power generated, and vice-versa. Power is measured in units of joules per second, or watts W.

Kinetic energy is simply the energy of motion - the more something is moving or the more there is to that somethingthe more kinetic energy it possesses. 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.

So there must be some rule about how the acceleration stops or tapers off to give that maximum velocity. Forget our remarks about Reynold's numbers etc, just let us know what's supposed to be going on physically. Is this about a ball dropped from a tower? A car driven by a law-abiding motorist? You also know from experience that the longer the hill, the faster you go.

The longer you feel that push from gravity, the faster it makes you go. Finally, you know that the steeper the hill, the faster you go. The steepest "hill" you could imagine is not much like a hill at all, but rather a sheer vertical drop—where objects go into free fall and where gravity gives the biggest push of all.

You wouldn't want to try that on your bicycle!

In free fall, gravity constantly accelerates an object increases its velocity —until it hits terminal velocity. Specifically, gravity increases a falling object's velocity by 9.

## How are acceleration, time and velocity related?

How does this constant acceleration affect the distance that an object travels over time? In this experiment you will roll a marble down a ramp to find out.

Materials Long cardboard tube, such as an empty roll of wrapping paper, to make your ramp. It should be at least two-and-one-half feet long. A thin book or small wood block to raise one end of your ramp. It should be about one-half inch to one inch in thickness. Pair of scissors for cutting the cardboard tube Permanent marker Marble Timer.

Make sure it can accurately count individual seconds. Many cell phones have a timer that is this accurate. 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.