1 / 16

Acceleration

Acceleration . AP Physics C Mrs. Coyle . Average Acceleration Instantaneous Acceleration Negative Acceleration Deceleration Graphical Analysis Using the limit to find acceleration. Average Acceleration. Average Acceleration= Change in Velocity Time

stacy
Download Presentation

Acceleration

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Acceleration AP Physics CMrs. Coyle

  2. Average Acceleration • Instantaneous Acceleration • Negative Acceleration • Deceleration • Graphical Analysis • Using the limit to find acceleration

  3. Average Acceleration • Average Acceleration= Change in Velocity Time a= • Vector a = Dv Dt

  4. Instantaneous Acceleration • Instantaneous Acceleration • Acceleration at a given instant • Can you tell if you are accelerating if you observe the speedometer of a car?

  5. Instantaneous Acceleration a = limDv Dt0Dt or a = dv dt

  6. Acceleration is the derivative of v with respect to time. a = dv dt Acceleration is the second derivative of x with respect to time. a = d ( dx ) = d2 x dtdt dt2

  7. Deceleration: acceleration leading to decreasing v. • Negative Acceleration: acceleration in the negative direction (can lead to either increasing v or decreasing v).

  8. Example 1: Using the limit to find instantaneous acceleration from a velocity function. The velocity of a particle is given by v= 3t + 1 (t is in sec). Find an expression that gives the instantaneous acceleration at any time t. Strategy: a = limDv = lim (vfinal –vinitial ) Dt0DtDt0Dt vfinal = 3(t +Dt) +1 , vinitial = 3t +1 Ans: a= 3 m/s2 (constant)

  9. Example 2 The velocity of a toy rocket is given by v= 4t2 + 3 (t is in sec). • Find the expression for instantaneous acceleration at any instant. (using the limit). • Find the instantaneous acceleration at t= 2s. • Find the average acceleration from 0 to 2sec. Answer: a)8t, b) 16 m/s2 ,c) 8m/s2 ,

  10. Uniform Accelerated Motion • Motion with constant acceleration • Straight line • Same direction

  11. Examples of Graphs for Constant Acceleration

  12. Example of Position vs Time (constant a) Parabola Position (m) o Time (s) Slope of Tangent at a given time= Instantaneous Velocity at that time

  13. Example of Velocity vs Time (Constant Acceleration) Velocity (m/s) o Time (s) Slope of Line= Acceleration Area Under Line=Displacement

  14. Example of Acceleration vs Time (Const. a) Acceleration (m/s2) o Time (s) Area under line = Change in Velocity

  15. Example:(see handout“Graphical Kinematic Exercises II”)

  16. Example:(see handout)What motion could these represent? 0 0 0

More Related