Chapter 11 Motion You will need a calculator for this chapter!

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Chapter 11 Motion You will need a calculator for this chapter! Slide 2 Section 11.1 Distance and Displacement p. 328 Slide 3 What is a frame of reference? What is a frame of reference? How fast was the boat traveling? Relative to what? Motion must be described relative to a frame of reference relative motion Relative to Earths surface (understood) Slide 4 How fast was the boat traveling? Relative to spectators? Really Fast!!!! Relative to driver? ZERO! Driver & boatsame frame of reference Tennis ball ex(p.329) Einsteins Theory of Relativity 10:06 Slide 5 Choosing a Frame of Reference Conclusion?? The Frame of Reference determines how motion of an object is described. Slide 6 Measuring Distance Distance - length btwn 2 pts SI unit.meter (m) Derived units cm (snail crawling) km (distance btwn 2 cities) Slide 7 Measuring Displacements distance v.s. displacement? walk 5 blocks (distance ) walk 5 blocks north from the bus stop (displacement) direction & distance from start to end Displacement needed for accurate directions Slide 8 Combining Displacements Vector? Measurement w/ magnitude and direction Magnitude? Size, length, amount Described w/ Slide 9 Displacement along a straight line 2 vectors same direction Add magnitudes Ex. A car travels 10 km north, stops to refuel, then travels 20 km north total distance = 30 km total displacement = 30 km (10 km north + 20 km north) from starting pt Slide 10 Displacement along a straight line 2 vectors. opposite directions Subtract mags Ex. Bicyclist travels 5 km east, turns around and travels 3 km west Bicyclists total distance = 8 km total displacement = 2 km east (5 km 3 km) Slide 11 Displacement That isnt along a straight path 2+ vectors w/ different directions Combine by graphing graphing Resultant vector - sum of all vectors Shows distance & displacement related but different Slide 12 Section 11.1 Assessment What is a frame of reference? How is it used to measure motion? How are distance and displacement similar and different? How are displacements combined? A girl who is watching a plane fly tells her friend that the plane isnt moving at all. Describe a frame of reference in which the girls description would be true. Slide 13 Section 11.1 Assessment Should your directions to a friend for traveling from one city to another include displacements or distances? Explain your choice. A spider is crawling on a wall. First it crawls 1 m up, then 1 m to the left, and then 1 m down. What is the distance the spider crawled? What is the spiders displacement? Slide 14 Section 11.2 Speed and Velocity p. 332 Have your calculator on your desk Slide 15 Video Can you describe the speed of the skaters? What information is needed to determine the speed of the skaters? Speed - ratio of distance traveled to time needed to travel that distance. SI unit meters per second (m/s) derived units: km/hr cm/s Slide 16 Average speed entire duration of a trip, average speed - total distance traveled (d), divided by total time (t) Average Speed = total distance total time total timeOr.. Calculating average speed Math Skills p. 333 Calculating average speed Math Skills p. 333 Slide 17 Average Speed ( v ) Avg speed doesnt reflect most common speed of trip stops, curves, hills Useful tells how long trip will take If v is 60 mi/hr & destination is 120 mi, your TOA is 2 hours Calculating average speed Math Practice p. 333 Calculating average speed Math Practice p. 333 Slide 18 Instantaneous speed Instantaneous speed (v) - rate object is moving at given moment speedometers show instantaneous speed 100 mi/hr (160 km/hr) Slide 19 Distance-time graph Slope = change in vertical axis change in horizontal axis change in horizontal axis Slope is speed of object plottedSlope is speed of object plotted Graphing Motion Slide 20 Slope (rise/run) = speed Calculate: What can you conclude about the speed of the RC car? Distance v.s. Time of an RC car Slide 21 Graphing Motion 4 segments (A-D) to find average speed for each segment Calculate: Describe the speed of the car in segment B? Driving speed of a car in rush hour traffic A D C B Distance-time graph Distance-time graph Slide 22 Velocity Pilots and control tower communicate describing velocity of planes Velocity describes speed and direction vector v changes if speed, direction, or both change Slide 23 Velocity Car traveling at constant speed (55 mi/hr) How would you describe its velocity? Direction changing on circular track, velocity changing Slide 24 Changing Velocities When velocities in same direction, add together River velocity= 7km/hr east Boat velocity= 16km/hr east 16 km/hr east 7 km/hr east Calculate: Slide 25 Changing Velocities When velocities at rt angles, use Pythagorean theorem to solve plane= 400km/hr west wind speed= 25km/hr south a 2 + b 2 = c 2 Calculate: 25 km/hr south 400 km/hr west Science of NHL hockey vectors 4:29 Slide 26 Section 11.2 Assessment You and a friend are watching a baseball game on ESPN where the commentator says the pitchers velocity of 100 mi/hr is virtually unhittable. Your friend agrees. What do you think? What does the slope on a distance-time graph indicate? Slide 27 Section 11.2 Assessment Does a cars speedometer show instantaneous speed, average speed, or velocity? Explain. An Olympic swimmer swims 50.0 meters in 23.1 seconds. What is his average speed? Slide 28 Section 11.2 Assessment A planes average speed between two cities is 600 km/hr. If the trip takes 2.5 hours, how far does the plane fly? Slide 29 Section 11.2 Assessment A discus thrower threw his disc 139 meters through the air. While in flight, the disk traveled at an average speed of 13.0 m/s. How much time did the disk remain in the air? Slide 30 Section 11.3 Acceleration p. 342 Suzuki Hayabusa Suzuki Hayabusa Have your calculator on your desk Slide 31 What is acceleration? Remember velocity is speed w/ direction Acceleration - rate velocity changes Vector What is a rate? it takes it takes time Slide 32 Changes in speed green stoplight car moves forward acceleration (positive change in cars speed) pushes you back in seat red stoplight speed decreases (negative change) you fall forward towards dash vectors_car_velocity_accel.notebook Slide 33 Free-Fall Free-fall - acceleration toward Earth b/c gravity Speed/velocity SI units is m/s Units for acceleration - meters per second per second or m/s 2 The 2 nd second is time needed to time needed to change speed (rate) change speed (rate) Slide 34 Free-Fall a near Earth = 9.8 m/s 2 bungee jumper will accelerate 9.8 meters per second every second hes in FF 1 s of FF speed = 9.8 m/s 2 s of FF speed =19.6 m/s (sped up 9.8 m/s in 1 s) What is speed after 3 s? 29.4 m/s after 3 seconds Slide 35 If the Earth is moving, why can I not feel it? body detects changes in speed Earth spin constant speed 850 mi/hr at mid latitudes (faster at equator) Revolves 67,000 mi/hr 2x bullet speed! 1.6 million miles / day! WOW!!! Slide 36 Changes in Direction a occurs if direction changes even if speed constant Ferris wheel & carousel = constant speed accelerate b/c change direction Slide 37 Changes in speed and direction roller coasters winding roads Slide 38 Constant Acceleration straight line motion & speeding up / slowing down - constant acceleration v of object changes same amt each sec Indy car pulling Gs 3:00 Slide 39 Calculating Acceleration calculate acceleration for straight-line motion using this equation: Acceleration = change in velocity total time total time or.. (v f v i ) t Velocity and acceleration 1:58 Velocity and acceleration 1:58 (v f v i ) a x t a x t venn diagram review.notebook Slide 40 Slide 41 Math Practice #1 p. 346 A car traveling at 10 m/s starts to decelerate steadily. It comes to a complete stop in 20 seconds. What is its acceleration? Slide 42 Math Practice #2 p. 346 An airplane travels down a runway for 4.0 seconds with an acceleration of 9.0 m/s 2. What is its change in velocity during this time? Slide 43 Math Practice #3 p. 346 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? Slide 44 Math Practice #4 p. 346 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 boys hand? (acceleration is downward b/c of gravity, but velocity is upward) Slide 45 Acceleration of a Mercedes-Benz Acceleration of a Mercedes-Benz Volunteer timers we will average the times How much time does it take to go from 0 km/hr to 200 km/hr? Slide 46 Graphs of Accelerated motion Speed-time graph displays acceleration Slope of speed-time graph is acceleration of object Slide 47 Slide 48 Distance-Time Graphs Accelerated motion is represented by a curved (non-linear) line on distance-time graph Slope (speed) greater after 3 sec than 1 sec acceleration video 3:24 acceleration video 3:24 Slide 49 Instantaneous Acceleration Instantaneous acceleration (IA) - how fast velo changing at specific instant Skateboarder continually changes speed & direction his IA always changing Slide 50 Instantaneous Acceleration Vector of skateboarders acceleration can point any direction Vector length represents how fast velocity is changing IA even if standing still and acceleration vector zero Slide 51 Section 11.3 Assessment Describe 3 types of changes in velocity. What is the equation for acceleration? What does the slope on a speed-time graph show? Define instantaneous acceleration.