# Calculating Velocity: Force, Mass & Distance Relationship

• The Trice
In summary, the conversation discusses a body with a mass of 1kg being acted on by a force of magnitude 10000/(y^2) in the direction towards a certain point. The main objective is to find the function of velocity in terms of time. By using the given information and integrating with respect to time, it is determined that the velocity equation is v=10^5(t)/y^2, where y is the distance between the body and the point. Using energy conservation may assist in finding the velocity as a function of distance.
The Trice
I have a body of 1kg of mass being acted on by a force of magnitude equal (10000/(y^2))
[where y is the distance between the body and a certain point] and this force is in the direction pointing to the point
so depending on what mentioned above :-
what i know is : f = a = (1000 0/(y^2))
and that Dy/Dt = V (velocity)

What is needed is the function of the velocity in terms of time.
Thanks for reading.

As you have said a=10000/(y^2)
==>Dv/Dt=10000/(y^2)
if y is a fixed value and independent of time ,integrating with respect to t

v=10^5(t)
-------
y^2

ofcourse y is not a constant value since the distance which is y decreases as the body moves towards the point

any help ??

is it this hard i just want to know the velocity equation between body attracted to a point or another body!

You probably need to find the velocity as a function of distance y first. Using energy conservation would help with that.

## 1. What is velocity and how is it calculated?

Velocity is a measure of an object's speed and direction. It is calculated by dividing the distance traveled by the time it took to travel that distance.

## 2. How does force affect velocity?

According to Newton's second law of motion, an object's velocity is directly proportional to the force applied to it. This means that the greater the force, the greater the velocity.

## 3. What is the relationship between mass and velocity?

The mass of an object also has a direct relationship with its velocity. A heavier object requires more force to accelerate and therefore has a lower velocity compared to a lighter object with the same force applied.

## 4. How does distance impact velocity?

The distance an object travels does not have a direct impact on its velocity. However, the time it takes to travel that distance does affect velocity. A longer distance will result in a higher velocity if the time taken to travel is the same as a shorter distance.

## 5. Can you calculate velocity without knowing the force, mass, or distance?

No, in order to calculate velocity, you need to know at least two of the three variables (force, mass, and distance). Otherwise, the velocity cannot be accurately determined.

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