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Motion. Chapter 2. How can we describe motion? Words Pictures/Diagrams Which is better? Why?. Describing Motion. Motion diagrams --- a series of images showing the positions of a moving object at equal time intervals
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Motion Chapter 2
How can we describe motion? • Words • Pictures/Diagrams • Which is better? Why? Describing Motion
Motion diagrams--- a series of images showing the positions of a moving object at equal time intervals • Particle Motion--- a simplified version of a motion diagram in which the object is replaced by a series of single points -size of the object must be much less than the distance it moves Motion Diagrams
Vectors Scalars numbers without direction Distance Time Temperature Examples: distance and time • represented by arrows (shows direction) • size (magnitude) • direction • Examples: velocity and acceleration Quantities in Physics
-An important part of describing the motion of an object is to describe how far it has moved, which is distance. Distance how far it has moved • -The SI unit of length or distance is the meter (m). Longer distances are measured in kilometers (km).
-Suppose a runner jogs to the 50-m mark and then turns around and runs • back to the 20-m mark. Displacement • The runner travels 50 m in the original direction (north) plus 30 m in the opposite direction (south), so the total distance she ran is 80 m.
-Displacement is the distance and direction of an object's change in position from the starting point. Displacement • -The runner’s displacement is 20 meters north of the starting point.
Plotting a Distance-Time Graph -If we plot a distance-time graph, we can see the relationship between speed, distance and time -Time is on the x-axis and distance is on the y-axis
Speed and velocity Chapter 2
-You also might want to describe how fast it is moving. Speed • : the distance an object travels per unit of time. • -Speed is a scalar
-A speedometer shows how fast a car is going at one point in time or at one instant. • -The speed shown on a speedometer is the instantaneous speed. • -Instantaneous speed is the speed at a given point in time. Instantaneous Speed
-Speed describes only how fast something is moving. • -To determine direction you need to know the velocity. Velocity • :the speed of an object and • the direction of its motion. • -Velocity is a vector
-Because velocity depends on direction as well as speed, the velocity of an object can change even if the speed of the object remains constant. Velocity • -The speed of this car • might be constant, but its • velocity is not constant • because the direction of motion is always changing.
the rate of change of displacement with time • has magnitude AND direction • change in distance (the displacement) divided by the change in time (the time interval) v = (df-di)/(tf-ti) Average Velocity
Given Unknown Equation Substitute Solution GUESS method
Whatis the velocity of a truck that travels 10. km in 10. minutes? • ANS: 17 m/s Problems
What is the average velocity of a commercial jet that travels from New York to Los Angeles (4800 km) in 6.00 hours? (convert answer to m/s) • ANS: 220 m/s Problems
A car is traveling at an average velocity of 70.0 m/s. How many km would the car travel in 6.5 hours? • ANS: 1700 km Problems
If you run 100. m at a speed of 5.0 m/s and then walk 100. m at 1.0 m/s what is your average velocity? • ANS: 1.7 m/s Problems
A rabbit and a turtle are practicing for their big race. The rabbit covers a 30. m practice course in 5.0 seconds, the turtle covers the same distance in 120 seconds. If the actual race is run on a 96 m course, by how many seconds will the rabbit beat the turtle? • ANS: 370 sec Problems
We can use the velocity to determine an object’s position! • An object’s position is equal to the average velocity multiplied by time plus the initial position. Symbol = dt Units = m dt = v ∙ t + di Average Velocity – Object’s Position
What distance is traveled by a police car that moves at a constant velocity of 1.5 km/minute for 5.0 minutes? • ANS: 7.5 km Problems
What distance would be covered in 10.0 minutes by a train that travels at a constant speed of 500. meters every 10.0 seconds? • ANS: 3.00 x 104 m Problems
A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel at the average speed of 790 km/hr. The first of the waves reached Hawaii 4 hours 34 minutes after the earthquake occurred. From this data, calculate how far the origin of the tsunami was from Hawaii? • ANS: 4,000,000 m Problems