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Motion
by emily esser
# Motion

## Acceleration

### the rate of change of the velocity

### indicates any change in the velocity vector

### To find it:

### Reading graphs

## Position

### States where an object is located

### x-, y-, and z-coordinates

### Point of reference in relation to origin

## Displacement

### Definition:The change of the position vector

### How to find it: The final position vector minus the initial position vector

### Remember: does not necessarily equal the total distance traveled

## Velocity

### depends on displacement and time interval

### Average velocity

### Instantaneous velocity

### Reading Graphs

## Newton's second law

### rate of change of the velocity is proportional to the net force and inversely proportional to the mass of th object

### net force is constant the acceleration is also constant

### Applying to problems

## Constant net force

### equations

## Visualization

### Motion diagrams

## Free Fall

### No forces act on an object other than the gravitation force that makes the object fall

### Air resistance

### massive objects are harder to accelerate

### More mass=more inertia

### the acceleration of an object in free fall is the vector of "g" regardless of the object's mass

### 9.80 meters per second squared

## Motion of projectiles

### an object moves in the xy-[plane with constant acceleration then both a of x and a of y are constant

### Projectiles

### Angle of elevation

### Trajectory

## Apparent Weight

### the feeling of "weightless"

### elevator example

## Air resistance

### Drag force

### Terminal velocity

### Terminal speed

## Vectors

### Positions and displacements

### Problem solving

## Words of the Day

### Forestall

### Modus operandi

### Ne Plus ultra

### Ithaca

### Panacea

### Explore

### Red Herring

### Mash-Up

## Helpful terms

### Interval

### Slope

### Mass

### Weight

## Relationship: velocity and Acceleration

### Velocity is the change in position

### Acceleration is the change of velocity

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change in direction

increase in speed

decrease in speed

simultaneous change in speed and direction

the change in velocity divided by the corresponding time interval

meters per second squared

net force and velocity point in opposite directions=slowing down

Net force and velocity point in same direction= speeding up

Straight-line motion= acceleration is wither same direction as velocity or in the opposite direction to the velocity

Direction

Distance

does not reveal information about the motion during the time interval

product of the vector, the displacement, and a positive scalar, the inverse of the time interval

x-axis, represented on the graph as x(t)

a vector

magnitude is the speed

direction of motion

used to calculate the displacement of the object during a very short interval

sloping portions on graphs indicate=movement

a horizontal position=position has not changed

steeper the graph=faster speed

sign of the slope indicates direction of motion, positive slope, positive slope=motion in the +x-direction, negative slope=motion in the -x-direction

Decide what objects will have Newton's second law applied to them

Identify all the external forces acting on that object

Draw a FBD to show all the forces acting on the object

Choose a coordinate system

find the net force by adding the forces as vectors

Relate the net force to acceleration

Relate the acceleration to the change in the velocity vector during a time interval of interest

change of velocity is equal to the final velocity minus the initial velocity = acceleration times the change in time

refer to page 108 and 109

position

velocity

Acceleration

neglible

objects in free fall

motion takes place in vertical plane

angle of initial velocity above the horizontal

path it takes in air

upwards the weight will be great than the true weight

downwards the weight will be less than the true weight

increases as speed increases

the larger the surface area the more air is needed to be pushed out of the way

the acceleration is zero

the magnitude of the terminal velocity is:

depends on:, size, shape, mass

Vectors in different direction, Subtraction: is to add its opposite, has same magnitude but opposite direction

Multiplication, multiplyig a vector by the scalar -1 reverses the vector's direction while magnitude is unaffected

Subtraction : used to find displacement

to predict what is ahead

"mode of operation"

the most profound degree

the journey

cures

To investigate systematically; examine

something intended to divert attention from the real problem or matter at hand

combining data from more than one source into a single integrated tool

The amount of time between two specified instants, events, or states

rise/run

measure of its inertia

is the magnitude of the gravitational force acting on it