Agenda for 42417 Hand out Unit 7 material

Agenda for 4/24/17 Hand out Unit 7 material Speed and Velocity Notes HW – Speed and Velocity Problems (due Wednesday)

At the end of class today… I can explain the difference between speed and velocity I can calculate the speed/velocity of a moving object.

Speed and Velocity What is motion? Motion - occurs when an object changes its location in space over a period of time. Did you know that you are spinning 1600 km/hr (1000 miles/hour) while you are sitting in this classroom? Do you feel dizzy? The reason you are not dizzy is that motion can only be detected relative to a FRAME OF REFERENCE such as some other object or point in space. ◦ The most common frame of reference is the EARTH.

Speed Definition and Formula Ø Speed - Distance traveled over a period of time. Formula: Speed = Distance Time Units: m/s or km/hr or miles/hr Round to the nearest tenth!

Example #1 Mr. Lamberton on a bad day, can pitch a baseball from the mound to home plate, a distance of about 20 meters in 0. 624 seconds. How fast is his pitch? Speed = distance time Speed = 20 meters 0. 624 sec Speed = 32. 1 m/s

Example #2 Mrs. Viggiano walks home from school at a speed of 1. 25 m/s. If it takes her 6 minutes (360 seconds) to walk home, how far away is her house? Speed = distance time Speed x time = distance 1. 25 m x 360 seconds = 450. 0 meters s

Example 3 An attacking hawk has a speed of 100 m/s. How much time did it take the hawk to get dinner if he was flying at an altitude of 50 meters when he spotted a mouse scampering on the ground? Speed = distance time Time = distance speed Time = 50 meters 100 m s Time = 0. 5 seconds

Graphing Speed Constant Speed (distance and time increase as an even proportion)

Graphing Speed Stopped (distance stays the same while time continues)

Graphing Speed Acceleration (as time continues, distance INCREASES rapidly)

Graphing Speed Deceleration (as time continues, distance DECREASES rapidly)

Velocity Definition and Formula Definition: Ø Distance traveled over a period of time. Ø Same formula for speed just add a direction! Ø What makes velocity different from speed is that you must have a DIRECTION. Round to the nearest tenth! Formula: Speed = Distance Time Units: m/s or km/hr or miles/hr Example: If you walk 4 km/hr in an easterly direction your velocity would be 4 km/hr EAST!

Example 1 Bob ran a marathon (26 miles) in 4 hours, what was his average speed? (Use speed formula) Speed = distance time Speed = 26 miles 4 hours Speed = 6. 5 miles hr

Example 2 Jill drove her car 10 hours due South and traveled 800 miles, what was her average velocity? (Use speed formula) Velocity = distance time Velocity = 800 miles 10 hours Velocity = 80. 0 miles hr SOUTH

Example 3 A racecar completed a 500 mile race in 4 hours, what was the average speed of the car? (Use speed formula) Speed = distance time Speed = 500 miles 4 hours Speed = 125. 0 miles hr

Agenda for 4/25/17 Speed Challenge Lab HW – Speed and Velocity Problems (Show all work!)

Agenda for 4/26/17 Speed and Velocity Problems in class Distance-Time Graphs worksheet Motion and Speed worksheet HW - None

Speed and Velocity Problems A cheetah ran 200 km in 2 hours in the north direction. What was the velocity of the cheetah? Velocity = distance time 1) Velocity = 200 km 2 hours Velocity = 100. 0 km/hr North

2) An airplane traveled 7200 km in 9 hours toward California. What velocity was the plane traveling at? Velocity = distance time Velocity = 7200 km 9 hours Velocity = 800. 0 km/hr toward CA

3) The speed of a cruise ship is 50 km/hr. How far will the cruise ship travel in 14 hours? Speed = distance time 50 km/hr = ___x_____ 14 hours Distance = 700. 0 km

4) The speed of a car is 80 km/hr. The car travels for 4 hours. How far did the car travel? Speed = distance time 80 km/hr = ____x____ 4 hours Distance = 320. 0 km

5) The speed of a plane is 200 km/hr. The plane travels 1400 km. How long did the plane travel? Speed = distance time 200 km/hr Time = 1400 km x = 7. 0 hours

6) A group of teens traveled 150 km by car to a beach resort. If the driving time was 2 hours, what was the speed their vehicle traveled during the trip? Speed = distance time Speed = 150 km 2 hours Speed = 75. 0 km/hour

7) The teens used a map to complete their trip. The sun would be setting in an hour and a half. They wanted to reach home before dark. If they drove at 90 km/hr, how far could they travel in 1. 5 hrs? Speed = distance time 90 km/hr = ____x____ 1. 5 hours Distance = 135. 0 km

8) A kayak races 100 meters in 50 seconds. What is its speed? Speed = distance time Speed = 100 m 50 s Speed = 2. 0 m/s

9) At the speed of 2. 5 m/s, how many seconds will it take the kayak to run a 4, 500 -meter course? Speed 2. 5 m/s Time = distance time = 4500 m x = 1800. 0 sec

10) When a kayak races downstream, its speed is 3 m/s. How far does the kayak travel in 35 seconds? Speed = distance time 3 m/s = Distance ____x____ 35 sec = 105. 0 m

11) A family backpacking at Yosemite National Park took 5 hours to climb a mountain trail 7. 5 km long. What was the family’s speed? Speed = distance time Speed = 7. 5 km 5 hr Speed = 1. 5 km/h

12) Peyton Manning threw a football 45 meters in 4. 5 seconds. What was the speed of the football? Speed = distance time = ____45 m____ 4. 5 sec = 10. 0 m/s

13) Robinhood shot his bow and arrow at a rate of 350 m/s. How far away was the target if it took 1. 5 seconds to hit it? Speed = distance time 350 m/s Distance = ____x____ 1. 5 sec = 525. 0 m

14) The speed of sound at 0 degrees Celsius is 330 m/s. How long did it take to hear a drum that was hit a distance of 246 meters away from a listener? Speed = distance time 330 m/s Time = 246 m x = 0. 7 sec

15) The speed of light is 300, 000 m/s. How much time does it take for light from the sun to reach the Earth, a distance of 148, 800, 000 meters? Speed = distance time 300, 000 m/s Time = 148, 800, 000 m x = 496, 000. 0 sec

Agenda for 4/27/17 Finish Motion and Speed worksheet Make Paper Airplanes for lab Lab tomorrow HW - none

Agenda for 4/28/17 Paper Airplane Lab – upstairs in commons Bring calculator HW – Finish lab questions

Sasha, Kim and Barry decided to have a 11. 5 km bicycle race after school. They asked the coach to show them how far 11. 5 km was on the school track. They then had their race on the track. Their race results are shown on the time-distance graph below. Use this graph to fill in the table of race results, calculate average speeds and answer the questions. 12 11 10 9 8 7 6 5 4 3 2 1 0 Race Results Cyclist Kim Sasha Barry Total Distance Total Time Average Speed

______ 1. How long did take the car to travel the first meter? ______ 2. How far did the car travel between 5 seconds and 10 seconds? ______ 3. At which point is the car traveling the fastest? ______ 4. At which point is the car stopped? ______ 5. What is the total distance traveled after 15 seconds? ______ 6. Calculate the average speed of the car during the trip. (Use total distance/total time)

Graphing Speed vs. Time Speed (m/s) Time (s) 0. 0 0 1. 0 2 2. 0 4 3. 0 6 4. 0 8 5. 0 10

1. As time increases, what happens to the speed? ________ 2. What is the speed at 5 seconds? _____________ 3. Assuming constant acceleration, what would be the speed at 14 seconds? _______ 4. At what time would the object reach a speed of 4. 5 m/s? _____ 5. What is the object’s acceleration? ____________ 6. What would the shape of the graph be if a speed of 5. 0 m/s is maintained from 10 seconds to 20 seconds? ___________ 7. What would the shape of the graph be if the speed of the object decreased from 5. 0 m/s at 20 seconds to 3. 0 m/s at 40 seconds? _____