1. Chapter 11
Motion

2. 11.1 Distance and Direction
Choosing a frame of reference
To describe motion ____________ and __________, a frame of reference is necessary.
Ex: A butterfly moves, but so does the Earth.
Frame of reference-system of objects that are ______________with respect to one another.
How fast are you moving?
Relative Motion- Movement in relation to a ____________________________.
Ex: A train to people on a platform is _______. To people on the train, they don’t seem to be moving.

3. Measuring Distance Distance- The length of a path between ____ points.
Measuring Displacement
Displacement is the _________ from the starting point and the length of a ______________from the starting point to the ending point.
Directions use displacements
Ex: Walk 5 blocks ________.
Do Quick Lab on comparing distance and displacement

4. Combining Displacement
Vector- A quantity that has a _________ and a _____________.
Magnitude can be ____, _______, or _________.
Vector addition is the ___________ of vector magnitudes and directions. You can add ________________ using vector addition.
Displacement among a straight line

5. When displacement isn’t a straight path…
Displacement that isn’t along a straight path
Resultant vector- The vector sum of 2 or more vectors. It shows _____________.
Measuring the resultant vector (the diagonal ____ line) shows that the displacement from the boy's home to his school is two blocks____than the distance he actually traveled

6. 11.2 Speed and Velocity
Speed- the _____ of the ________ an object moves to the amount of ____ the object moves.
SI unit of speed is (____) ___________________

7. What’s the difference?
Distance vs Displacement? Speed vs Velocity? ___________________________________ Distance vs Displacement? Has no direction Has a direction Ex: 5m 5 m up Speed vs Velocity? Ex: 35 km/hr 35 km/hr west

8. Ways to express speed
Instantaneous speed- measured at a particular ________.
Instantaneous Speed, __, the rate at which an object is moving at a given ________ in time. Example: A car’s _____________.

9. Ways to express speed
Average speed- computed for the entire ___________ of a trip.
speed-, v, is the _______________traveled, d, divided by the ____, t, it takes to travel that distance.
Average speed =

10. Math practice
1.A person jogs 4.0 kilometers in 32 minutes, then 2.0 kilometers in 22 minutes, and finally 1.0 kilometer in 16 minutes. What is the jogger's average speed in kilometers per minute?
2.A train travels 190 kilometers in 3.0 hours, and then 120 kilometers in 2.0 hours. What is its average speed?

11. Graphing Motion- Distance-Time Graphs
The slope =
The slope of a line on a distance-time graph is _________.
Velocity- _______ and __________ on which an object is moving. Velocity is a _________.
If speed remains constant, a change in direction is a change in ______________.

12. Combining velocities
Two or more velocities add by vector ______________.
Ex: If a river flows 5 km/h east relative to the bank, and a boat travels 12 km/h east relative to the river, what is the velocity of the boat relative to the bank?
Ex: If a river flows 5 km/h east relative to the bank, and a boat travels 12 km/h north relative to the river, what is the velocity of the boat relative to the bank?
You need to use Pythagorean Theorem.

13. Section 11.3 Acceleration What is acceleration?
Acceleration is the ______ at which ______________ changes.
Acceleration can be changes in _______, changes in ________, or changes in _____. Acceleration is a ___________.

14. Changes in Speed
Acceleration can be a positive change in speed (____________), or a negative change in speed (____________).
(You feel acceleration in a car when you start moving after a red light.) 
As the bus moves down the street at a constant speed, its acceleration is _______.
An example of acceleration due to change in speed is ________________.
Free-fall- The movement of an object toward ______ solely because of ____________.
Remember: Velocity is in meters per second (m/s). Acceleration is in meters per second ____________ (______). Free-falling objects accelerate downward at ___________.

15. Changes in Direction
Acceleration isn’t always the result of changes in speed. During a merry-go-round, the speed is constant but the _____________changes.
When you ride on a carousel, you _________ because of the changing direction.

16. Changes in Speed and Direction
Speed and direction changes when driving on a curved road or when riding a _______________.
A roller coaster produces acceleration due to changes in both _______ and ________

17. acceleration Constant Acceleration- A _______ change in velocity.
Velocity of the object changes by the ______ amount each second.
Calculating Acceleration
You calculate acceleration for straight-line motion by dividing the change in _________ by the total _______.
a = acceleration vi = initial velocity vf = final velocity
t = total time
a = a =
Constant acceleration during takeoff results in changes to an aircraft's velocity that are in a constant direction

18. Math practice
1.A car traveling at 10 m/s starts to decelerate steadily. It comes to a complete stop in 20 seconds. What is its acceleration?
2.An airplane travels down a runway for 4.0 seconds with an acceleration of 9.0 m/s2. What is its change in velocity during this time?
3.A child drops a ball from a bridge. The ball strikes the water under the bridge 2.0 seconds later. What is the velocity of the ball when it strikes the water?
4.A boy throws a rock straight up into the air. It reaches the highest point of its flight after 2.5 seconds. How fast was the rock going when it left the boy's hand?

19. Quiz 11.2 Find the distance Find the displacement Find the avg speed
1. A car travels 4 miles east, 2 miles north, then turned 4 miles and continued East, and then finally 4 miles north. The whole trip took 2 hrs.
Find the distance
Find the displacement
Find the avg speed
Find the avg velocity

20. Quiz 11.2
2. A plane flies at the speed of sound, 330 m/s. How fast does it go in miles per hour? 1 mile = m

21. Math practice
1.A car traveling at 10 m/s starts to decelerate steadily. It comes to a complete stop in 20 seconds. What is its acceleration?
2.An airplane travels down a runway for 4.0 seconds with an acceleration of 9.0 m/s2. What is its change in velocity during this time?

22. 3. A child drops a ball from a bridge
3.A child drops a ball from a bridge. The ball strikes the water under the bridge 2.0 seconds later. What is the velocity of the ball when it strikes the water?
4.A boy throws a rock straight up into the air. It reaches the highest point of its flight after 2.5 seconds. How fast was the rock going when it left the boy's hand?

23. a= Vf= Vi= t= a = ΔV t a = Vf - Vi
5. A car is moving from rest and attained a velocity of 80 m/s. Calculate the acceleration of the car after 5 s? a=
Vf=
Vi= t=
a = ΔV t
a = Vf - Vi

24. a= Vf= Vi= t= a = ΔV t a = Vf - Vi
6. Determine the acceleration of a coaster which moves with a velocity of 10 m/s, after 2s its velocity is increases to 26 m/s.
a = ΔV t
a = Vf - Vi a=
Vf=
Vi= t=

25. a= Vf= Vi= t= a = ΔV t a = Vf - Vi
7. A bus accelerates from 25 km/hr to 50 km/hr in 30 seconds. What is its acceleration? a=
Vf=
Vi= t=
a = ΔV t
a = Vf - Vi

26. a= Vf= Vi= t= a = ΔV t a = Vf - Vi
8. A ball is thrown straight up in the air. If it takes the ball 2 seconds to reach its maximum height, what is the initial velocity? a=
Vf=
Vi= t=
a = ΔV t
a = Vf - Vi

27. a= Vf= Vi= t= a = ΔV t a = Vf - Vi
9. A ball rolls off the table and hits the floor in .7 seconds. How fast is the ball moving just before it hits the floor.
a = ΔV t
a = Vf - Vi a=
Vf=
Vi= t=

28. Graphs of Accelerated Motion
The slope of the speed-time graph is ___________________.
Speed-Time Graphs
Linear graph- the displayed data form straight-line parts.
Slope = acceleration.

29. Speed-time Graphs
The horizontal part of the graph shows a biker's constant _______. The part of the graph with negative slope shows negative ______________ as the mountain biker __________to a stop.

30. Distance-Time Graphs
Accelerated motion is represented by a _____________in a distance-time graph.
A distance-time graph of accelerated motion is a curve