# How are velocity acceleration and force related?

## How are velocity acceleration and force related?

It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.

### How is velocity related to force?

So force is the change in (mass times velocity) with respect to time: F = d(mv)/dt. In most situations we figure mass is constant. So force is proportional to a change in velocity. (F = m dv/dt, or mass times acceleration.)

How is force related to acceleration?

The acceleration is directly proportional to the net force; the net force equals mass times acceleration; the acceleration in the same direction as the net force; an acceleration is produced by a net force. Consistent with the above equation, a unit of force is equal to a unit of mass times a unit of acceleration.

What is the relationship between time and force?

Knowing the amount of force and the length of time that force is applied to an object will tell you the resulting change in its momentum. They are related by the fact that force is the rate at which momentum changes with respect to time (F = dp/dt).

## Does force depend on velocity?

Usually we assume mass is constant, and so force depends on velocity. If the velocity increases with time, the force will grow. But you could also have constant velocity and have the mass increase with time, and then too, the force would grow. If force increase, acceleration must be changing.

### Why force is linked directly to acceleration and not to velocity?

Force=Mass×Acceleration is only valid when mass is a constant. And dv/dt is rate of change of velocity wrt. time hence acceleration. This is how force is related to acceleration (rate of change of velocity) and not just velocity itself.

How do you find acceleration from a force time graph?

Since “force equals mass times acceleration”, As dextercioby says, if mass is a constant,you can then derive the acceleration of the object. If you are very clever and can calculate the “area under the graph” between two times, that will give you the change in speed between the two times.

Do force and velocity have inverse relationships?

Conclusion. The force-velocity curve demonstrates a simple inverse relationship between force and velocity – meaning an increase in one results in a concurrent decrease in the other.