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Chapter 2. Motion and Speed. Sec. 1 Describing Motion. Motion occurs when an object changes position. You don’t need to see something move to know that motion has taken place. You just need a reference point to know if motion occurred. Distance and Displacement.
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Chapter 2 Motion and Speed
Sec. 1 Describing Motion • Motion occurs when an object changes position. • You don’t need to see something move to know that motion has taken place. • You just need a reference point to know if motion occurred
Distance and Displacement • Distance—how far an object moved • The SI unit for distance is the meter,m • Displacement—the distance and direction of an object’s change in position from the starting point.
Speed • Rate—any change over time • Speed—the distance an object travels per unit of time. Speed = distance s = d time t • Suppose you ran 2 km in 10 min, what is your speed? s = 2 km / 10 min s = 0.2 km/min
Graphing Motion • On a distance vs. time graph, time goes on the x-axis and distance goes on the y-axis. • The slope (steepness) of the line represents the speed of the object. Distance Speed Time↑
Which one is the fastest? • Which one isn’t moving?
Bubble Gum Lab • Speed Challenge Lab/ wkst • http://www.nsf.gov/news/special_reports/olympics/bobsled.jsp • http://www.nsf.gov/news/special_reports/olympics/mathletes.jsp
Average & Instantaneous Speed • Average speed—the total distance traveled divided by the total time of travel. • Used when speed is changing • Instantaneous speed—the speed at a given point in time. • Ex. Speedometer
Velocity • Speed describes only how fast something is moving. • Velocity—includes the speed of an object AND the direction of its motion • Ex: 40 mi/hr North or 5 m/s up
Change in Velocity • Velocity can change in 2 ways • Change in speed • Change in direction Or Both • Ex: a race car has a constant speed of 100km/hr around an oval track. • Speed is constant, but velocity changes
Acceleration • Acceleration: Change in velocity over time • acceleration = change in velocity time • When something speeds up, it has a positive acceleration • When something slows down, it has a negative acceleration • The slope of a velocity vs time graph is the acceleration • Units for acceleration are m/s/s or m/s2
Changing Direction • Remember: • A change in velocity can be either a change in speed or a change in direction. • Any time an object changes direction, its velocity changes and it is accelerating.
Calculating Acceleration • As you know, • acceleration = change in velocity time • Change in velocity = final velocity (vf) – initial velocity(vi) • We can rewrite the acceleration equation as a = (vf – vi) t
Calculating Positive Acceleration • An airplane starts at rest and travels down a straight runway and reaches a top speed of 80 m/s in 20 s. What is its acceleration? • a = (vf – vi) = (80 m/s – 0 m/s) t 20 s = 4 m/s2 • The airplane is speeding up, so the acceleration is positive.
Calculating Negative Acceleration • A skateboarder is moving at 3 m/s and comes to a stop in 2 s. What is the acceleration? a = (vf – vi) = (0 m/s – 3 m/s) = -1.5 m/s2 t 2 s • The skateboarder slowed down, so the acceleration is negative.
Zero Acceleration • When an object has a constant velocity, it has 0 acceleration.