Understanding Kinematics: Measures, Questions, and Formulas
Explore the essential measures in kinematics, grasp concepts through questions, and delve into the formulas to calculate speed, duration, distance, and more in this informative content.
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Kinematics Terms and Questions What measures must be known to Make a moving object catch a falling object? Program a yellow light for safe use?
(Your) Kinematics Questions (so far) How fast ? How far ? How long ? Where ? When ?
(Your) Kinematics Questions (after editing) - - - - - - when ? - where ? - how long .? - how far does object move? - how far and which way) is object moved from start? - how fast is object moving? - how fast & which way is it moving? - -
Measurement Names -time -duration -position -distance -displacement -speed -velocity -Which of these terms relates two other terms? - - - - - - -
Kinematics Measures - (t) time -(x,y,z) position - where object is/was -( t) duration - how long does (did) motion take -(d) distance - how far object moves -( x)displacement - how far (and which way) object is moved from start - (S) speed - how fast is object moving -(v) velocity - how fast & which way its moving - when
Using word webs (graphic organizer) for vocabulary Word Webs mimic how your brain works Word Webs can be added to Word Webs take LESS time to write than traditional notes, because you write just what you need Ex: duration (see side board)
Live Problems What is the jeep s speed? Write a lab report on white board. We will race the cars to see if the class s results are accurate. How did we do? How long will it take your jeep to travel 4.0m?
Formulas t = tf to x = xf xo S = d / t v = x / t
Time vs Duration What is the difference? What is the same? Which one must be computed if you use a traditional clock? How do you perform that computation
Distance vs Displacement What is the difference? What is the same? Which measurement matters to a football coach? Which one affects how tired a running back would be at the end of a play? Which one is 1600m when the mile is run at a track meet?
Speed and Velocity What is the difference? What is the same? What formulas are used? What do you call the value if the speed of the object isn t constant?
Speed vs Velocity Example At a CB South track meet, Pat competes in the 1600m (4 laps of the 400m track). Pat completes the first lap of the race in 60.0 seconds, the second lap in 62.0 seconds, the third lap in 73.0 seconds, and the last lap in 65.0 seconds. In SI units, determine Pat s average speed or average velocity (whichever has relevance in this problem). Now compute the answer in miles per hour.
P.&Q.O.D. Page 32 problem #4 What two pairs of measurements have the same magnitude (numerical value) if, and only if the moving object never reverses direction? If the initial time is zero, what two measurements have the same value? If an object starts at the origin (x=0) what two measurements must have the same magnitude and direction?
POD Its 3rd and 7 in the last minute of the 4thquarter. Eagles 21, Native Americans 17. Washington is on the Eagles 25 yard line. RG3 takes the hike, and backs up to the 30, fires a pass right over the middle to the newly acquired Jackson. The pass is beautifully thrown, so that even a Physics teacher could catch it. After the catch, Jackson is hit so hard his eyes just about pop out and he is brought down at the 20 yard line. The entire play takes 3.50 seconds. Compute the displacement and average velocity for the play. Show all steps!
The Mathematical Relationship Lab: (how you discover an equation) What is the mathematical relationship between ________________(___) and ___________(__) for ? 1. Devise experiment 2. Perform steps, collecting data 3. Graph Data, determine equation of line or curve. 4. Explain, illustrate relationship. 5. Take a PLQ, using your personal report as a guide during the quiz.
What is the mathematical relationship between ________ (__) and _______ (__) for the jeep (that starts at the origin, and moves slow and steadily in the positive direction)? What (are the best) two kinematics measurements that will fit this question? time, duration, position, distance, displacement, speed, velocity
What is the mathematical relationship between the position (m) and time (s) for a jeep that starts from the origin and moves uniformly in the positive direction? the position (m) and time (s) for a cart that starts from rest at the origin and goes faster and faster while moving in the positive direction? Use a Ticker Tape to determine the jeep s position every tenth of a second for 1.5 seconds Determine the equation that relates position to time for the jeep (while it is in motion). Explain what the equation means. (what it tells you) Repeat for the cart on the incline.
Concluding a Mathematical Relationship Lab: For ____(what went on)__________, it has been determined that ____(dep)_____ is _______________ to _______(indep)______ (with _________), as shown by the equation: This means, if the ______________ is ____________then the ___________ will _______________. For example,
If: x(t) = 3t2+4t-6 1. Where did the object start? 2. What is its average velocity from 2.0s to 4.0s? 3. What is its velocity at 2.0s and 4.0s?
