1 / 13

Equations of Uniform Accelerated Motion

Equations of Uniform Accelerated Motion. Physics Mrs. Coyle. Average Velocity . v = ½ (v f +v i ). . Displacement in terms of Average Velocity and Time . d= v t d= ½ (v f + v i ) t. . How do we derive d= ½ (v f + v i )t from the graph?. v f. Velocity (m/s). v i. o. Time (s).

cherie
Télécharger la présentation

Equations of Uniform Accelerated Motion

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. Equations of Uniform Accelerated Motion Physics Mrs. Coyle

  2. Average Velocity v = ½ (vf +vi) 

  3. Displacement in terms of Average Velocity and Time d= v t d= ½ (vf + vi) t 

  4. How do we derive d= ½ (vf + vi)t from the graph? vf Velocity (m/s) vi o Time (s) t • Hint: Area Under the Line=Displacement Δd or simply d

  5. Displacement (d) in terms of vi , a, t d= vit + ½ at2

  6. How do we derive d= vit + ½ at2 ? Hint: Start with d= ½ (vf + vi)t and then substitute for vf that vf = vi+at.

  7. Final Velocity in terms of vi, a, d vf2 = vi2 + 2ad

  8. How do we derive vf2 = vi2 + 2ad ? • Hint: Start with d= ½ (vf + vi)t and then substitute for t= (vf – vi) /a .

  9. Equations of Motion for Uniform Accelerated Motion vf= vi+ at vavg = ½ (vf +vi) d= ½ (vf + vi)t d= vit + ½ at2 vf2 = vi2 + 2ad • d is the displacement (or Δd) • Assume that ti=0

  10. Solving Kinematics Problems • Draw a labeled vector diagram showing the positive and negative direction. • Make a list of the givens (include signs as needed) and unkown. • Decide what equation(s) you should use. • Write the equation(s) and solve for the unknown. Always include units in your first substitution and in your final answer.

  11. Problem 1 A rocket travelling at +95m/s is accelerated uniformly to +150m/s in 10s. What is the displacement? Answer:1,225.m

  12. Problem 2 An airplane has a minimum take off velocity of 80m/s. How long should the runway be, if the airplane can accelerate on the ground at 3m/s2 ? Answer: 1,067m

  13. Problem 3 An airplane landing at +100m/s, comes to a stop in 30s. • What is the acceleration? • How far did it travel on the runway before it stopped? Answer: -3.3m/s2, 1,515m

More Related