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CHS Physics Instantaneous Velocity &Acceleration.

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Presentation on theme: "CHS Physics Instantaneous Velocity &Acceleration."— Presentation transcript:

1 CHS Physics Instantaneous Velocity &Acceleration

2 Recall that this is the velocity at any particular instant in time If the direction is removed, it becomes Instantaneous Speed The slope of a line on a position/time plot is the average velocity

3 Limit Calculation Eventually the calculation ceases to change This is then the slope of a tangent to the curve

4 The Derivative Taking a Derivative is the same as calculating the Limit The Derivative of the equation gives an equation for the slope of any tangent

5 The Position Function The Derivative of the position function is the Instantaneous Velocity

6 Sample Problem 2-2 Plot Velocity vs. Time by analyzing Position vs. Time Break the x(t) plot into three segments The slope of the line is the velocity

7 Go Backwards The displacement of the elevator? The Area under the curve is displacement Integrating the Function yields displacement

8 Check Your Understanding Work through Sample Problem 2-3 –An example of derivation and calculating instantaneous velocity CHECKPOINT 3 –Which function shows constant velocity? –Which shows negative velocity?

9 Average Acceleration Rate of change of velocity

10 Instantaneous Acceleration Acceleration at any particular instant in time

11 Col. J. P. Strapp Accelerated to 1020 km/h (634 mi/h) –Photos 1 and 2 Quickly Stopped!! –Photos 3 through 6 –Problem 30E What a Nut!!

12 Comparing Directions Problem Solving Tactic, page 18 If velocity and acceleration have the same sign, then what is happening to the speed? What do opposite signs indicate?

13 Sample Problem 2-4 Let’s take a close look

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