1. Name: _____________________________________ Class: _____ Motion 11.2 Speed and Velocity Chapter 11

2. What are we going to learn? Identify types of speed Calculate the speed of an object

3. Speed The _________ of the ______________ an object moves to the ______________________ the object moves 2 types: _____________ and ________________________ Average Speed _________________________ traveled ____________________ the _________ it takes to travel that distance _________________________ is computed for the ______________________________ of a trip

4. _________________ for average speed is: Instantaneous Speed __________ at which an object is ______________ at a given _________________________ Instantaneous speed is __________________ at a _____________________________ Speed Graphs The _________ of a line on a ____________________ _______________________ is ____________

5. Velocity Description of both ___________ and ___________________ of motion _____________ is a ____________ A __________ in ____________ can be the ___________________ a change in ___________, a change in _______________, or __________

6. ________________________ velocities _________ by ______________________________ A __________ on a river heads _________________ ___________ the river. The _____________ is moving _______________ to the river banks, so the _______ does _______ land on the bank __________________ ___________ from the starting location. The _________________________ of the boat is the ___________________ of the ___________________ plus the ___________________. The boat starts at Point ____ and heads ___________ Point ____ but ____________ the opposite ________ of the river at Point ____.

7. A __________ on a river heads __________________ ___________ the river. The ____________ is moving _______________ to the river banks, so the _______ does _______ land on the bank __________________ ____________ from the starting location. The _________________________ of the boat is the ___________________ of the ___________________ plus the ____________________. The boat starts at Point ____ and heads ___________ Point ____ but _____________ the opposite ________ of the river at Point ____.

8. The ________ required for the boat to cross the river from one side to the other side _______________ on the _________________ and the _____________________________________ If the ____________________ is __________ and the ______________________ is ___________, the ___________________________ could be determined to be _________ using the Pythagorean Theorem (_________________________) The boat velocity is ____, river velocity is _____, then the resultant velocity is ____ a = ____ m/s and b = ____ m/s

9. a 2 + b 2 = c 2 4 2 + 3 2 = c 2 ____ + ____ = c 2 √¯ ____ = c ____= c The resultant velocity is 5 m/s The time (t) required for the boat to cross a 60-meter wide river (d) would be dependent upon the boat velocity of 4 m/s (v) If _______________ then _______________ so t = d / v = (60 m) / (4 m/s) = 15 seconds It would require 15 seconds to cross the 60-meter wide river

10. The teacher walks 4 meters East, 2 meters South, 4 meters West, and finally 2 meters North. The entire motion lasted for 24 seconds. Determine the average speed and the average velocity. Average Speed To determine average speed: d = _______ meters t = _______ seconds average speed = d/t = ____________ = ________ m/s *

11. Average Velocity Average velocity is displacement (speed with change in direction)/time ________________ The displacement is _____ meters Average velocity = __________________ Average velocity = ___________ The skier moves from A to B to C to D. Determine the average speed and average velocity of the skier during these 3 minutes. Remember: Add up the distances for speed Add up the displacements for velocity Average speed = ____________________ Average velocity = _____________________

12. A football coach is pacing back and forth along the sidelines from position A to B to C to D. What is the coach's average speed and average velocity? Average speed = ____________________ Average velocity = _____________________

13. Questions... Define speed: ___________________________________________ _____________________________________________ The SI units for speed are ______________________ How is instantaneous speed different from average speed? _____________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ The equation used for calculating average speed is ___________________________________________ ___________________________________________

14. True or false? You can determine how fast you were going at the midpoint of a trip by calculating average speed for the entire trip. __________________________________ A student walked 1.5 km in 25 minutes, and then, realizing he was late, ran the remaining 0.5 km in 5 minutes. Calculate his average speed on the way to school. _____________________________________________ ___________________________________________ ___________________________________________ What type of speed does an automobile’s speedometer display? ___________________________________________

15. The slope of a line on a distance-time graph represents ________________. How do speed and velocity differ? _____________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ Circle the letter of each sentence that describes a change in velocity. a.A moving object gains speed. b.A moving object changes direction. c.A moving object moves in a straight line at a constant speed. d.A moving object slows down.

16. True or false? If a car travels around a gentle curve on a highway at 60 km/h, the velocity does not change. How do velocities combine? _____________________________________________ ___________________________________________ ___________________________________________ A river flows at a velocity of 3 km/h relative to the riverbank. A boat moves upstream at a velocity of 15 km/h relative to the river. What is the velocity of the boat relative to the riverbank? a.18 km/h downstream b. 15 km/h upstream c.12 km/h upstreamd. 12 km/h downstream

17. A person jogs 4.0 km in 32 min, then 2.0 km in 22 min, and finally 1.0 km in 16 min. What is the jogger’s average speed in km/min? _____________________ ___________________________________________ A train travels 190 km in 3.0 hr, and then 120 km in 2.0 hr. What is its average speed? _______________ ___________________________________________ A car travels 85 km from point A to point B, then 45 km from B to C. The total trip took 1.5 hr. What was the average speed of the car?___________________ ___________________________________________ A bicyclist travels for 1.5 hr at an average speed of 32 km/hr. How far does the bicyclist travel in that time? _____________________________________________ ___________________________________________

18. Draw and label a line showing the slope of a constant high speed (A), constant low speed (B), and varying speed (C) on the graph below.

19. Does a car’s speedometer show instantaneous speed, average speed, or velocity? Explain. _____________________________________________ ___________________________________________ Describe an experiment you could perform to determine the average speed of a toy car rolling down an incline. _____________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ A plane’s average speed between 2 cities is 600 km/h. If the trip takes 2.5 hours, how far does the plane fly? _____________________________________________ ___________________________________________