INTRO TO AND GRAPHING MOTION UNIFORM MOTION AND UNIFORM ACCELERATED MOTION READ PAGES 27-36.

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Presentation transcript:

INTRO TO AND GRAPHING MOTION UNIFORM MOTION AND UNIFORM ACCELERATED MOTION READ PAGES 27-36

AVERAGE AND INSTANTANEOUS VELOCITY

UNIFORM MOTION Implies a constant velocity throughout the object’s motion Constant velocity: -Displacement through equal time intervals will be equal -Initial and final velocities are identical -Can be in positive or negative direction, but stays in same direction On your iPad, sketch the following graphs for uniform motion: -Position-time graph -Velocity-time graph -Acceleration-time graph

ACCELERATION

UNIFORM ACCELERATED MOTION Implies a constant acceleration throughout the object’s motion Constant acceleration: -Change in velocity through equal time intervals will be equal -Displacements are NOT equal through equal time intervals -Can be in positive or negative direction, but stays in same direction Acceleration Direction Velocity DirectionEffect to motion Positive (+) Speed up Positive (+)Negative (-)Slow down Negative (-)Positive (+)Slow down Negative (-) Speed up Zero (0)Any directionConstant velocity

IPAD SKETCH—POSITION TIME GRAPH: Neatly draw a set of axes for a position-time graph Sketch a graph to show a constant, positive velocity for a biker. Assume the biker started at position x = 0.00 m In a different color, sketch the graph for a biker moving with the same constant velocity, but starting at position x = m In a third color, sketch the graph for a biker traveling at the same speed, but in the opposite direction. This biker starts at position m me your graph when you’re done

SKETCH #2 Draw a position-time graph to show a jogger who ran 50.0 m in 10.0 s, then rested for 15.0 s, then sprinted another 60.0 m (in the same direction) in 8.0 s. Label your axes with scales appropriate to the motion being represented in the graph How do you show the different velocities? me your graph when you’re done.

SKETCH #3 Create a velocity-time graph to show the same information that you just represented in the previous position-time graph Put scales on your axes Show, specifically, how you can verify the displacement of the runner. me your graph when you’re done

SKETCH #4 Sketch a velocity-time graph showing a car that accelerates uniformly from rest to a final velocity of 25.0 m·s -1 in 6.00 s. Show and determine what the displacement of the car during its acceleration is. What is the acceleration of the car, and how do you find it from the graph?