## How do you locate the closest point to a point?

If you want to find the closest one, and not its actual distance, you can use dx2+dy2 to get the distance squared to each item. This is also very useful. You will need to test each item against the others if there is no data structure.

## How do you find the origin of a line?

To find the origin of a straight line, you need to look at the intercept. While most things have an origin in life, not all lines do. An origin is a line that has an intercept that is less than zero.

**What is the point of origin in math? **

In a Cartesian coordinate scheme, the origin is where the axes intersect. The origin coordinates are always zero. For example, (0,0 in two dimensions or (0,0,0 in three).

**What can be described as a change in position? **

Motion refers to a change in position. It can be described as either the distance or displacement.

### What is the distance traveled divided by the time taken to travel the distance?

speed

### Is a measure of how quickly an object gets from one place to another?

The speed of a moving object refers to how fast or slow the object moves. A faster moving object will travel farther in a shorter time than one that moves slower. An object’s movement can be affected by its speed. The speed at which a raft moves in a river changes with its velocity.

**Can a moving object be used as a reference point? **

To determine if you’re moving, you can refer to your chair. If an object changes its position relative to a reference point, it is considered in motion. Reference points are objects that are fixed relative the Earth, such as a building or tree, and which can be used to identify them.

**What’s a way to describe an object slowing down? **

If an object slows down, its acceleration will be in the opposite direction to its motion. Example A shows that the object is moving in a positive direction (i.e. has a positive velocity) while speeding up. Acceleration is the opposite direction of velocity when an object speeds up.

## What determines an object’s mass?

Inertial Mass is a measure that an object’s resistance is to acceleration when a force applied. Passive gravitational Mass is an indicator of how strong an object’s interaction will be with a gravitational force. Passive gravitational masses are calculated by subtracting an object’s weight from its free-fall acceleration.

## What is an example of an object that is slowing down but has a positive acceleration?

Figure 2. 19 Car E is slowing down in the same direction as Car D and opposite of Cars A, B, and C. Because it is moving opposite to the positive direction, Car E is moving with a negative velocity as well. Its acceleration is positive, however, since it is moving in a negative direction but slowing down.

**Is it possible for an object to have a positive acceleration and be slowing down? **

An object with negative acceleration might be moving faster, while an object with positive acceleration may be moving slower. You should remember that acceleration is a vector which points in the same direction with the change in velocity.

**Can a car have a negative velocity and positive acceleration? **

Yes. An object’s velocity can be negative if its acceleration is positive, and vice versa. This is the case when an object is launched vertically up and then moves freely under gravity.

### Does the acceleration of the cart change as they change the amount of force applied?

In the right-hand photo, the force on a cart remains the same while its mass changes. You can see how acceleration is affected by mass and force. Acceleration of an object increases as a result of increased force. It decreases as an object becomes heavier and moves in the same direction with the force.

### What effect on the acceleration does increasing the force applied on the body have?

Answer. The net force exerted upon an object determines its acceleration. However, the object’s mass is inversely affected by this net force. The object’s acceleration increases as the force exerted upon it is greater. The acceleration of an object decreases as it gains more mass.