# Relationship between mass velocity and distance

### How to Find Speed From Distance & Mass | SportsRec

Jan 27, A power boat of mass kg is cruising at a constant speed of m/s. Using that time i calculated distance useing the velocity formula v=d/t. Yes, it's possible to calculate the 3rd if any two or provided. Also, For a given property (like say orbital velocity) Indeed, there are infinite number. Apr 17, Mathematics instructs us that speed = distance/time. Speed, or velocity, is determined by: Final velocity squared -- initial velocity squared. Kimberly Dyke is a Spanish interpreter with a B.A. in language and international.

Find where the two lines cross. At this intersection point, trace one line to X axis, and another to the Y axis. These are the lines with arrows on diagram 1. The two values you see are the time and distance where the fast car should overtake the slower car. Mark the predicting passing point on your course. Mark off the calculated point where the faster car should overtake the slower car. Have your assistant release the slower car at the head start mark while you simultaneously release your faster car at the starting line.

Start the timer a third person might be nice for this. Watch carefully to see where the fast car overtakes the slow car. Compare your predicted time and distance that the fast car overtook the slower car with the actual values. Results Your results are likely to be pretty close to what your graph predicts, but they will likely vary depending on the velocities of your cars and whether or not they travel at a consistent velocity.

Conduct more trials if you wish. Uniform velocity is a linear function, making them easy and fun to predict. Although the slower car had a head start in distance, the faster car covered more distance in less time, so it caught up. This is where the lines crossed. A non-graphical way of looking at this is using the following equation: The total distance each car travels to intersect is the same. Then, you can tell your parents how soon you will arrive at your destination.

Disclaimer and Safety Precautions Education. In addition, your access to Education. Warning is hereby given that not all Project Ideas are appropriate for all individuals or in all circumstances. Implementation of any Science Project Idea should be undertaken only in appropriate settings and with appropriate parental or other supervision. Reading and following the safety precautions of all materials used in a project is the sole responsibility of each individual. If the object's displacement-time graph is a straight line itself, then the object is traveling with a constant velocity.

If the graph is not a straight line i.

• Distance, Velocity and Time: Equations and Relationship
• How to Find Speed From Distance & Mass

This is just an equation relating the three main ways average acceleration is expressed in equations. Remember that if the object has a constant acceleration, its average acceleration is the exact same value. Average acceleration, measured in units of distance per time-squared typically, meters per second per secondis the average rate at which an object's velocity changes over a given time interval. This tells us how quickly the object speeds up, slows down, or changes direction only.

This equation is both the definition of average acceleration and the fact that it is the slope of a velocity-time graph.

Like velocity, if the graph is not a straight line then the acceleration is not constant. This is a simple re-write of the definition of acceleration.

## Homework Help: Calculating Distance and Time given mass,velocity,and Force.

It is useful when solving for the final velocity of an object with a known initial velocity and constant acceleration over some time interval. If an object goes from an initial velocity to a final velocity, undergoing constant acceleration, you can simply "average" the two velocities this way. This is particularly helpful and easy to use if you know that it starts with zero velocity just divide the final velocity in half.

This is a simple re-write of the old distance-equals-rate-times-time formula with average velocity defined as above. This is a very important formula for later use. It can be used to calculate an object's displacement using initial velocity, constant acceleration, and time. Though a bit more complex looking, this equation is really an excellent way to find final velocity knowing only initial velocity, average acceleration, and displacement.

Don't forget to take the square-root to finish solving for vf. This equation is the definition of a vector in this case, the vector A through its vertical and horizontal components.

Recall that x is horizontal and y is vertical. This equation relates the lengths of the vector and its components. It is taken directly from the Pythagorean theorem relating the side lengths of a right triangle. The length of a vector's horizontal component can be found by knowing the length of the vector and the angle it makes with the positive-x axis in this case, the Greek letter theta.

The length of a vector's vertical component can be found by knowing the length of the vector and the angle it makes with the positive-x axis in this case, the Greek letter theta. Because the components of a vector are perpendicular to each other, and they form a right triangle with the vector as the hypotenuse, the tangent of the vector's angle with the positive-x axis is equal to the ratio of the vertical component length to the horizontal component length.

This is useful for calculating the angle that a vector is pointed when only the components are known.

This is Newton's Second Law, written as a definition of the term "force". Simply put, a force is what is required to cause a mass to accelerate. Since 'g' is already a negative value, we don't have to mess around with putting a negative to show direction down is negative in our x-y reference frame. Through experimentation, physicists came to learn that the frictional force between two surfaces depends on two things: These two factors are seen here in this equation: Since both are positive, we must include a negative to account for friction's oppositional nature always goes against motion.

### Calculating Work

Another way to interpret Newton's 2nd Law is to say that the net sum total force on an object is what causes its acceleration.

Hence, there may be any number of forces acting on an object, but it is the resultant of all of them that actually causes any acceleration. 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.