Kinematics Terms and Questions

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Presentation transcript:

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?

What should my notebook look like? Notebooks are a waste, unless YOU can benefit from using them. The most useful notebook is flexible (in terms of its capacity to organize your work). Your should have sections for: Vocabulary Example problems Lab Reports Returned: HW Labs quizzes

(Your) Kinematics Questions (so far…) How fast…? How far…? How long…? Where…? When…?

(Your) Kinematics Questions (after editing) - - when? - - where is (was) object? - - how long does (did) motion take? - - 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?

Assignment Quest Kinematics I #1-7

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?

Distance and Displacement During a “suicide” athletes start at one end of the gym, sprint to the foul line (15 feet), then back to the end-line, then sprint to the mid-court line (42 feet), then back to the initial end-line, then sprint to the other foul line, then back to the initial end-line, then sprint to the opposite end line. Determine the distance and displacement for each athlete. A diagram of the court would be useful!

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 and Velocity During a “suicide” athletes start at on end of the gym, sprint to the foul line (15 feet), then back to the end-line, then sprint to the mid-court line (42 feet), then back to the initial end-line, then sprint to the other foul line, then back to the initial end-line, then sprint to the opposite end line. This takes the athlete 28 seconds. Would the athlete’s average speed or average velocity be of interest? Compute the measurement that would be useful. A diagram of the court might be useful!

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. Compute Pat’s average speed or average velocity (whichever has relevance in this problem).

What is the mathematical relationship between ________ (__) and _______ (__) for the jeep while it moves at a constant speed? What are the simplest (most fundamental) two kinematics measurements that will fit this question?

Mathematical Relationship Lab What is the mathematical relationship between the position (m) and time (s) for the jeep? Determine the equation that relates position to time for the jeep (while it is in motion). Explain what the equation means. Give a real world example (RWE) that illustrates what you just explained (for the two variables we are focusing on, NOT for some analogous situation.)

Steps to a mathematical relationship lab: Perform trials, recording data – be sure you know which is dependent and which is independent! Graph Data (sometimes this is done for you!) Determine equation. Explain, illustrate relationship. Take a PLQ, or write a report.

POD A toy jeep moves at a steady speed of 0.350m/s. How long will it take this jeep to travel 0.850m?

What is the mathematical relationship between… position (m) and time (s) for the cart on an incline, if it starts from rest at the origin at t=0.0s and rolls down the incline?

What is the mathematical relationship between the position (m) and time (s) for…

What is the mathematical relationship between the position (m) and time (s) for the cart that starts from rest at the origin and gains speed? -The (change of) position of the cart is exponentially proportional to (the change of) time (with an exponent of 2), as shown by the equation: x(t) = 0.1524t2 + 0.04627t -0.002917 -This means that the cart will change position four times as much in twice the change in time (if it starts from rest). -For example, if the cart moved from the origin to position A by time t, then it would move to position 4A by time 2t. (This is because the cart ….)

Symbols - Terms - Questions - - when? - - where is (was) object? - - how long does (did) motion take? - - 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? - - how quickly does the _______ change?

Terms – Definitions -time - -duration - -position - -distance - -displacement - -speed - -velocity - -acceleration - Which of these terms relates two other terms?

Kinematics Terms Organized by … time position duration distance displacement speed velocity acceleration

Terms and Equations -duration - -displacement - -speed (ave) - -velocity (ave) - -acceleration (ave)-

POD A car traveling at 22 m/s slows down to 12m/s. This takes 5.00 seconds. Determine the car’s acceleration.

Do you KNOW the Terms? What’s happening if an object has: Constant position? Constant VELOCITY? Constant SPEED? Constant acceleration? Constant position is the same thing as zero: Constant velocity is the same thing as zero:

What is the cause? Is there a cause of If so, what is the cause? position? velocity? acceleration? If so, what is the cause?

A NET Force The cause of acceleration The result of adding all the forces acting on an object A vector, and the acceleration it causes is in the same direction