Motion: Are you moving right now? Earth Spins about 1000mi/hr at the equation Earth travels around the sun at 66,000mi/hr The sun travels around the galaxy

Motion: Are you moving right now?

Earth Spins about 1000mi/hr at the equation

Earth travels around the sun at 66,000mi/hr

The sun travels around the galaxy at 450,000mi/hr

The galaxy travels through space extremely fast!

Like the oblivious bug on someone’s shoulder in a fast moving airplane, we are currently moving through space a

million miles an hour but we can’t sense it!

More reading

At the molecular level stationary

objects have a lot of internal motion.

http://astrosociety.org/edu/publications/tnl/71/howfast.html%236

SPEED The distance an object travels divided by the time it takes traverse that distance.

s=d/t

A Cheetah can sprint in excess of 70 miles per hour!

t=?/?

d=?/?

Speed Formula Manipulation

Multiply both sides by t

Divide both sides by s

SPEED The distance an object travels divided by the time it takes traverse that distance.

s=d/t

A Cheetah can accelerate from 0 to 62 miles per hour in 3 seconds!

t=d/s

d=st

http://www.speedofanimals.com

What animals could you outrun?Animal Speed Animal Speed

Grizzly Bear Elephant

Black Mamba Horse Fly

Ostrich Lion

Garden Snail Kangaroo

An Speedometer Measures Speed

If you were in a car and the Speedometer read 55MPH that means if you maintain your current speed, you will travel a total distance of 55 miles in one hour.

• 55MPH = hour 1

miles 55

S=d/t

Practice Problems Name______________1. Mr. Sapone superglues you to

a lane at a bowling alley. He throws a bowling ball at you and it takes 2 seconds for it to roll 60 feet down the lane. Calculate its speed.

2. A pitcher’s mound is 18.44 meters from home plate. If Mr. Sapone throws a wild pitch that hits you in the face 0.4 seconds after he releases it, how fast was it thrown?

3. A great white shark swims 150 feet in 5 seconds before it bites you. What is its speed?

4. A Car travels 240 miles in 6 hours before running you over. What was its average speed for the trip?

5. If Mr. Sapone threw you out of an airplane without a parachute, and that plane traveled 2,500 miles in 5 hours, what was its average speed?

6. Mr. Sapone is trying to burn you with a magnifying glass and solar energy. It takes light 8 minutes to reach us from the sun. If the sun is 93,000,000 miles away on average, calculate the speed of light.

7. Mr. Sapone is in s car traveling 60ft/s. If you are 235 ft away, how long before he runs you over?

8. A car has a constant speed of 80 kilometers per hour. How long would it take to travel 430 kilometers?

9. An object is drifting in space at a speed of 1200 centimeters per second. How long will it take for it to drift 500 meters

10. A student briskly walks at a speed of 2.2m/s down a hallway for 9 seconds to get to class on time. How far did the student walk.

11. A student sneezes and forgets to cover her mouth. The droplets from the sneeze travel at a speed of 55ft/s for a time of 0.3 seconds. How far did the droplets travel.

12. If Jesus walked from Nazareth to Jerusalem at a pace of 5 kilometers per hour and it took him a total walking time of 1,260 minutes, how far is Jerusalem from Nazareth?

13. Goldie Goldfish, a speed swimmer, loves to race around the park’s pond, which is 0.5 miles around. If she can swim 20 laps around the track in 2 hours, what is her average speed?

14. It takes Stu, a slimy slug, 20 minutes to travel from his favorite bush to the local trash can (a trip of 30 meters), how far can he travel in 1 hour (60 minutes)?

15. At exactly 2:00 pm, Speedy the Snail crawls onto a meter stick at the 10 cm mark. If he reaches the 65 cm mark at exactly 2:10 pm, what is his speed?

16. If it takes Leaping Louie 5 minutes to jump 3 blocks, how long will it take for him to jump 15 blocks?

17. You and a friend each walk 8.0 km. You walk at 6.4 km/h; your friend walks 8.1 km/h. How long will your friend wait for you at the end of the walk?

18. A hungry cheetah is sprinting towards you. What is the average speed of a cheetah that sprints 100m in 4 seconds? Convert this to mi/hr.

19. If you shout into the Grand Canyon, your voice travels at the speed of sound (340 m/s) to the bottom of the canyon and back, and you hear an echo. How deep is the Grand Canyon at a spot where you can hear your echo 5.2 seconds after you shout?

20. A scorpion travels 5 meters across the floor at a speed of 1 m/s. How long before it stings you?

21. Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in meters/second) is Amy’s average speed for the entire trip?

Are you FISH FOOD?

Suppose you are swimming in the ocean and you see the fin of a great white shark appear in the water 150 feet away from you. You are 40 from the shore/safety and can swim at a maximum rate of 3 feet per second. The shark can swim at a frightening 35 feet per second.

Will the shark be enjoying you as a tasty snack?

Are you Meow Mix?

While on vacation, you get out of your vehicle to explore the African wild. You didn't realize how far away from your vehicle you had ventured when suddenly you spot a lion about 200ft away from you. You immediately begin to run towards your car and the lion darts after you. If your car is 80 feet away from you and you can run at a maximum rate of 19ft/s and the lion can run at a speed of 70ft/s, will you make it to the car on time? Or will you be kitty food?

Run

Rise

SpeedTime

Distance

Run

Rise Slope

Time

Distance

GRAPH MATCHING Vernier

Title = Y vs. XAxis = Dry MixInterval = equally spacedLabels = include unitsScale = fill page

Graphing Distance (ft) Time (s)

0 0

2 1

4 2

6 3

6 4

6 5

6 6

10 7

14 8

18 9

22 10

• 1) Graph this data

• 2) Determine the slope of each line.

• 3) Explain the motion in words

GRAPH MATCHING Vernier

Task: Position (ft) Time (s)

0 0

1 1

2 2

3 3

4 4

5 5

6 6

6 7

4 8

2 9

0 10

• 1) Graph this data

• 2)Determine the slope of each line.

• 3) Explain the motion in words

Explain this graph

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Time (Seconds)

Distance (Meters)

Distance vs Time

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What is missing from this graph?

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Time (Seconds)

Distance (Meters)

Distance vs Time

What is this graph showing? Why?a) Increasing speedb) Constant Speedc) Decreasing Speedd) No motion

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Time (Seconds)

Distance (Meters)

Distance vs Time

What is this graph showing? Why?a) Increasing speedb) Constant Speedc) Decreasing Speedd) No motion

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Time (Seconds)

Distance (Meters)

Which runner is faster?

Two Runners

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Position (Meters)

What is this object doing?

Position vs Time

Distance vs Time

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Time (Seconds)

Distance (Meters)



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Time (Seconds)

Position (Meters)

Position vs Time

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Speed (ft/s)

Speed vs Time

What is this graph showing? Why?a) Increasing speedb) Constant Speedc) Decreasing Speedd) Not moving

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Speed (ft/s)

Speed vs Time


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Speed vs Time


1. Who won the race?2. Who stopped for a rest? For how long?3. What was Albert’s average speed?4. How long did Albert have to wait for Charlie to finish?5. Who was winning the race after 8 seconds?6. Was Charlie’s average speed before the stop faster or slower than after?7. Calculate the slope for Charlie during his first 8 seconds.

Adapted from M Poarch motion graphs

Which of the following graphs depicts a runner starting 10 yards

ahead of the other? Explain your answer.Adapted from M Poarch motion graphs

Match the situation to the graph: • The car is stopped_____• The car is traveling at a constant speed_____ • The car is accelerating_____• The car is slowing down_____

Adapted from M Poarch motion graphs

10

60

50

20

70

0

40

30

Dis

tanc

e (m

)

5 10 15 20 25 30 35 40 45 50Time (sec)

steady speed.

Not moving

speeding up.

Moving backwards

Fast, steady speed.

Velocity• Velocity is as an

object’s displacement divided by time.

• Displacement is how far an object is from its starting point.

• Formula

Speed = 30m/sSpeed = 30m/s

These balls are going in opposite directions at the same speed.

Velocity = 30m/sVelocity = -30m/s

Their velocity must be different because they travel in opposite directions.

When dealing with velocity we must specify a direction!

Speed and Velocity are the same for straight line motion where direction does not change.

Speed = 30m/s

Velocity = 30m/s

Question: If you swirl an object tied to the end of a string in a circle at a constant speed, is its velocity also constant?

Activity—Speed vs Velocity

Task: walk across the classroom and halfway back. Make measurements and collect data that lets you fill in the following information.

• Length of Room________• Time travelled ________• Distance walked ________• Displacement__________• Speed___________• Velocity__________

Distinguish between speed and velocity.

Speed is a measure of total distance travelled over time regardless of direction.

Velocity is a measure of your change in position or location over time. Direction is necessary.

A race track has a total length of 1,500 feet. A racecar travels around it one time in 10 seconds. What is the cars average speed and what is its average velocity?

What type of word is racecar?

If you walk 5 blocks east in 2 minutes and then 10 blocks north in 5 minutes calculate the following.

MATERIALS: Ruler, Graph Paper and a Calculator

Activity

Show all Work and Problem setups or credit will not be given.

A) Draw the situation to scale on graph paper (use the space)B) Your speed as you walked east?C) Your speed as you walked north?D) Your average speed for the whole trip?E) Your average velocity for the whole trip?F) Is the average speed and velocity the same? Why?

A2+B2=C2

Use 1cm block paper

Time

Position

What does this graph show???

Time

Position

Remote Controlled Racecar

Describe the motion of this object over the course of the trip. Explain each color.

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Time (Seconds)

Position (Meters)

Rank the average Velocity of Each Runner from Fastest to Slowest

Motion of Four Objects

0 2 4 6 8 10Time (s)

30

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5

0

Position (m)

Position vs Time Graph

Greatest Displacement to Least[1] _______ [2] _______ [3] _______ [4] _______ [5] _______ [6] _______

Greatest Distance Traveled to Least[1] _______ [2] _______ [3] _______ [4] _______ [5] _______ [6] _______

0 2 4 6 8 10Time (s)

30

25

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10

5

0

Position (m)

Position vs Time Graph

Average Velocity during 10 seconds greatest to Least[1] _______ [2] _______ [3] _______ [4] _______ [5] _______ [6] _______

Average Speed during 10 seconds greatest to least[1] _______ [2] _______ [3] _______ [4] _______ [5] _______ [6] _______

Velocity Problems1. An Olympic sized swimming pool is 50 meters in length.

A swimmer swims across the pool and back in 28 seconds.

a) Distance __________b) Time_____________c) Displacement______d) Speed____________e) Velocity___________

2. An Olympic sized swimming pool is 50 meters in length. A swimmer swims across the pool and half way back in 21 seconds.


3. An Olympic sized swimming pool is 50 meters in length. A swimmer swims ¼ of the way across the pool in 7 seconds.


4. A hallway is 100 feet long. A student runs down the hallway and all the way back (one lap) a total of four times. On the fifth lap the student becomes fatigued and only makes it half of the way before stopping to rest.


5. The speedometer of a car moving to the east reads 60mi/hr. It passes another car that moves to the west at 60mi/hr. Do both cars have the same speed? Do they have the same velocity?

6. Correct your friend who says, “The dragster rounded the curve at a constant velocity of 80mi/hr.”

7. If you walk 3 miles east and 4 miles north, what is your displacement?

8. If a person runs around a racetrack at a constant speed, will their velocity be the same?

NASA

A EC DB

600m/s 700m/s 600m/s400m/s800m/s 400m/s

1. List all the asteroids that are moving towards the ship?

2. List all the asteroids that are moving away from the ship?

3. Explain your reasoning.

You have 5 asteroids all moving in the same direction as a rocket ship with the speeds listed below.

Modified from TIPERs

Is defined as a change in velocity over time.

Any change in an object’s direction or its velocity requires it to undergo an acceleration.

Velocityfinal – Velocityinitial

Time

Two Sample Problems1. A ball is rolling with an initial velocity of 2

meters per second and over the course of 5 seconds it increases its velocity to 5 meters per second. Calculate the acceleration it underwent.

2. A car is stopped at a red light. Once the light turns green the car accelerates from rest to a velocity of 44 feet per second over the course of 6 seconds. Calculate the car’s acceleration.

Acceleration Handout

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Time (Seconds)

Velocity (ft/s)

Velocity vs Time

What is this graph showing? Why?a) Constant Acceleration b) Constant deceleration c) No Accelerationd) Constant Velocitye) Two of the above are correct.

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Velocity vs Time


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Velocity vs Time


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Time (Seconds)

Acceleration (ft/s2)

Acceleration vs Time

This object’s velocity isa) Constantb) Increasingc) Decreasingd) Constant Velocitye) Zero, its not moving.

Documents

Motion: Are you moving right now? Earth Spins about 1000mi/hr at the equation Earth travels around the sun at 66,000mi/hr The sun travels around the galaxy