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Motion by Mind Map: Motion

1. Acceleration

1.1. the rate of change of the velocity

1.2. indicates any change in the velocity vector

1.2.1. change in direction

1.2.2. increase in speed

1.2.3. decrease in speed

1.2.4. simultaneous change in speed and direction

1.3. To find it:

1.3.1. the change in velocity divided by the corresponding time interval

1.3.2. meters per second squared

1.4. Reading graphs

1.4.1. net force and velocity point in opposite directions=slowing down

1.4.2. Net force and velocity point in same direction= speeding up

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

2. Position

2.1. States where an object is located

2.2. x-, y-, and z-coordinates

2.3. Point of reference in relation to origin

2.3.1. Direction

2.3.2. Distance

3. Displacement

3.1. Definition:The change of the position vector

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

3.3. Remember: does not necessarily equal the total distance traveled

4. Velocity

4.1. depends on displacement and time interval

4.2. Average velocity

4.2.1. does not reveal information about the motion during the time interval

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

4.2.3. x-axis represented on the graph as x(t)

4.3. Instantaneous velocity

4.3.1. a vector

4.3.2. magnitude is the speed

4.3.3. direction of motion

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

4.4. Reading Graphs

4.4.1. sloping portions on graphs indicate=movement

4.4.2. a horizontal position=position has not changed

4.4.3. steeper the graph=faster speed

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

5. Newton's second law

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

5.2. net force is constant the acceleration is also constant

5.3. Applying to problems

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

5.3.2. Identify all the external forces acting on that object

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

5.3.4. Choose a coordinate system

5.3.5. find the net force by adding the forces as vectors

5.3.6. Relate the net force to acceleration

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

6. Constant net force

6.1. equations

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

6.1.2. refer to page 108 and 109

7. Visualization

7.1. Motion diagrams

7.1.1. position

7.1.2. velocity

7.1.3. Acceleration

8. Free Fall

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

8.2. Air resistance

8.2.1. neglible

8.3. massive objects are harder to accelerate

8.4. More mass=more inertia

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

8.6. 9.80 meters per second squared

9. Motion of projectiles

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

9.2. Projectiles

9.2.1. objects in free fall

9.2.2. motion takes place in vertical plane

9.3. Angle of elevation

9.3.1. angle of initial velocity above the horizontal

9.4. Trajectory

9.4.1. path it takes in air

10. Apparent Weight

10.1. the feeling of "weightless"

10.2. elevator example

10.2.1. upwards the weight will be great than the true weight

10.2.2. downwards the weight will be less than the true weight

11. Air resistance

11.1. Drag force

11.1.1. increases as speed increases

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

11.2. Terminal velocity

11.2.1. the acceleration is zero

11.3. Terminal speed

11.3.1. the magnitude of the terminal velocity is:

11.3.2. depends on: size shape mass

12. Vectors

12.1. Positions and displacements

12.2. Problem solving

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

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

12.2.3. Subtraction : used to find displacement

13. Words of the Day

13.1. Forestall

13.1.1. to predict what is ahead

13.2. Modus operandi

13.2.1. "mode of operation"

13.3. Ne Plus ultra

13.3.1. the most profound degree

13.4. Ithaca

13.4.1. the journey

13.5. Panacea

13.5.1. cures

13.6. Explore

13.6.1. To investigate systematically; examine

13.7. Red Herring

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

13.8. Mash-Up

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

14. Helpful terms

14.1. Interval

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

14.2. Slope

14.2.1. rise/run

14.3. Mass

14.3.1. measure of its inertia

14.4. Weight

14.4.1. is the magnitude of the gravitational force acting on it

15. Relationship: velocity and Acceleration

15.1. Velocity is the change in position

15.2. Acceleration is the change of velocity