1-D Kinematics.

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Presentation transcript:

1-D Kinematics

Mathematical Quantities Scalars: quantities described only with a magnitude Magnitude is a fancy word for numerical value  Example: 8 miles Vectors: quantities described with a magnitude and direction Example 8 miles East

Plicker practice 9cm 12 m/s 13 ft N 92*C Describe the following mathematical quantities as A. Vector or B. Scalar 9cm 12 m/s 13 ft N 92*C

Distance & Displacement Distance is a scalar quantity describing the expanse covered during an object‘s motion. Displacement (d) is a vector quantity describing how far an object has traveled from it’s origin, or the overall change in an objects position. If a penguin uses the following routes calculate his distance traveled and overall displacement: 1. 2 m 2. 2 m 1 m 1 m 2 m

What would be the units of speed and velocity? Speed & Velocity Speed is a scalar quantity relating to how fast an object is moving (distance over time or x/t). Velocity (v) is a vector quantity relating to the rate at which on object changes it’s position (change in position over time d/t). The direction of velocity vector is the same as the direction the object is moving What would be the units of speed and velocity?

Instantaneous Vs Average Speed Using a car analogy we can talk about differences between instantaneous and average speeds. Instantaneous speed would be what we see on our speedometer at a specific moment in time. Average speed would be an average of all speedometer readings over the course of a trip. Objects moving at a constant rate could have the same average speed as those moving at an erratic rate

Calculating Average Speed & Velocity Average Speed: distance traveled over time Average velocity: change in position over time or displacement over time  d/t Calculate the average speed of the penguin if the following scenario took him 16 seconds. What would be his average velocity? 2 m 1 m

Acceleration Acceleration is a vector quantity which relays the rate at which an object changes it’s velocity. During constant acceleration an object will change its velocity by a constant amount each second. Acceleration can also vary To calculate an average acceleration use change in velocity over time. ∆v/t What would the units of acceleration be? m/s/s

Acceleration Direction Acceleration is a vector quantity. Depends on speeding up or slowing down of an object Is the object moving in the + (right or up) or – (left or down) direction If an object is slowing down then it is accelerating in the direction opposite its motion.

Practice What are the accelerations for the following scenarios? 2 m/s/s -2m/s/s

SQ4R Recite (After you read) Respond (After you read) Survey (Before you read) Review article/chapter headings questions, and subtitles Review any teacher handouts NO Writing Required Question (Before you read) What do you know about the topic already? Why did Mrs. Kemp assign this reading to you? Read Ask 3 questions (for clarification, wonderment, etc) Identify unknown terms and define if needed Recite (After you read) Summarize the reading in your own words Record important quotes or ideas Respond (After you read) To teacher handout or questions Review (After you read) Review your notes Ask new questions for further understanding Define any unknown terms