Physics Principles and Problems Accelerated Motion Chapter 3 Physics Principles and Problems Zitzewitz, Elliot, Haase, Harper, Herzog, Nelson, Nelson, Schuler and Zorn McGraw Hill, 2005

Acceleration - rate of change in velocity per unit time. http://www.free-computer-wallpapers.com/pictures/ albums/Car_wallpaper/Nascar_ea_sports500.jpg http://www.munciefreepress.com/files/images /October%202007%20%20Space%20Shuttle %20Discovery%20Launch%20-%201.preview.jpg

Acceleration = ∆v / ∆t (vf - vi / tf - ti) 8m/s - 4m/s = 4m/s = 2m/s2 4s - 2s 2s Acceleration’s units are distance per time squared What is the graph of an object that is decelerating? What is the graph of an object at constant acceleration?

Remember a distance vs time graph of an object that is accelerating is quadratic. http://www.gravitywarpdrive.com/ General_Relativity_Images/ Falling_Ball_Graph_Distance.gif The rate of velocity is not constant. Since the velocity is changing per unit time so to is the distance traveled. What is the distance-time graph of an object that is decelerating?

The sign of acceleration does not indicate whether or not Using the graph explain the acceleration and position of these 5 runners (assume east is positive). east A B v e l o c i t y (m/s) C D time (s) E west The sign of acceleration does not indicate whether or not The object is speeding up or slowing down (only its direction).

Final Velocity with Average Acceleration a = ∆v OR ∆v = a ∆t OR vf - vi = a ∆t ∆t vf = vi + a ∆t Example 1: A bus that is traveling at 30.0km/hr speeds up at a constant rate of 3.5m/s2. What velocity does it reach 6.8s later? Example 2: A car slows from 22m/s to 3.0m/s at a constant rate of 2.1m/s2. How many seconds are required before the car is traveling at 3.0m/s?

Position with Average Acceleration df = di + vitf + 1/2atf2 Velocity with Constant Acceleration vf2 = vi2 + 2a(df - di) Example 1: Sekazi is learning to ride a bike. His father pushes him with a constant acceleration of 0.50m/s2 for 6.0s, and then Sekazi continues at 3.0m/s for 6.0s before falling. What is Sekazi’s displacement? Example 2: Sunee is training for an upcoming 5.0km race. She starts out her training run by moving at a constant pace of 4.3m/s for 19min. Then she accelerates at a constant rate until she crosses the finish line 19.4s later. What is her acceleration during the last portion of the training run?

Free Fall - the motion of an object due to the force of gravity (air resistance = 0). Neglecting air resistance, all objects in free fall have the same acceleration. Earth: g (acceleration due to gravity) = 9.8m/s2 Sun: g = 275m/s2 Venus: g = 8.9m/s2 Moon: g = 1.6m/s2 Jupiter: = 25m/s2 http://imagecache2.allposters.com/images/pic/EUR/2300-2025~Skydiving-Free-Fall-Formation-Posters.jpg http://www.robhainey.com/Made%20up%20signs/Constuction%20site/Warning%20falling%20objects%20400%20x%20300.jpg

This same acceleration constant (9 This same acceleration constant (9.8m/s2) applies to objects falling towards earth or moving away from earth. When solving for free fall these same equations apply: vf = vi + atf df = di + vitf + 1/2at2 vf2 = vi2 + 2a(df - di) http://ww1.prweb.com/prfiles/2006/10/04/0000446911/spudwebb.jpg http://www.onlinephys.com/freefall1.jpg

Examples You toss a ball up in the air at 35m/s. What is the velocity of the ball after 2.2s? 4.4s? 7.0s? A construction worker accidentally drops a brick for a high scaffold. What is the velocity of the brick after 4.0s? How high was the scaffold? A tennis ball is thrown straight up with an initial speed of 22.5m/s. How high does the ball rise? If the ball is caught at the same distance above the ground how long was the ball in the air? The current world record for vertical leap is 1.5m. What was this individual’s initial speed? During this jump how long was the person in the air?