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# Physics 1 Notes- Week 2 PHY 105

La Salle

GPA 3.5

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This 4 page Class Notes was uploaded by Gianna Harris on Sunday September 13, 2015. The Class Notes belongs to PHY 105 at La Salle University taught by Stephen Longo in Summer 2015. Since its upload, it has received 85 views. For similar materials see General Physics 1 in Physics 2 at La Salle University.

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Date Created: 09/13/15

Chapter 2 0 In considering motion one must consider setting up a coordinate system that defines position as well as how rapidly the object is moving 0 The simplest way to categorize motion is through the average speed where D39 t Average Speed M Elapse Time 0 Both distance and time elapsed are positive so average speed is ALWAYS positive Below is practice problem that deals with finding average speed 1 A car travels up a hill at a constant speed of 40 kmhr and returns down the hill at a constant speed of 60 kmhr Calculate the average speed for the round trip distance 2d len tho hill 2d 2d cl 2 V lt g f 2 lt gt 48kmhr time t t cl cl cl cl 1 1 up down up clown 4O 6O 4O 6O 0 In some situations average velocity Dav is more useful than the average speed displacement Ax Xf 36 1 Dav l where average velocity elapsedtime 0 Average velocity tells on average how fast something is going as well as the direction the object is moving 0 Average velocity is a one dimensional vector 0 Instantaneous velocity can be defined as 1 AHOE where limm gt 0 means evaluate the average velocity AXAt over shorter time intervals approaching zero in the limit 0 One dimensional vector 0 The magnitude of the instant velocity is called instantaneous speed ie a car speedometer 0 When the velocitv is constant the average velocitv over anv time interval is equal to the instantaneous velocitv at any time Both average velocity and instantaneous velocity can be visualized through a X versus t graph 0 Acceleration is the rate of change of velocity with time A f i 0 Average acceleration is de ned as X31 At t f ti Av 11m cm L0 0 Instantaneous acceleration is defined as At or z 0 IA one dimensional vector Acceleration can be interpreted graphically through a v versus t plot graph gt kWhen acceleration is constant the instantaneous and average acceleration are the same When the velocity and the acceleration of an object have the same sign the speed of the object increases thus velocity and acceleration are in the same direction 0 If something has a constant acceleration is has the same acceleration at every instant of time It instantaneous acceleration is equivalent to its average acceleration ConstantAcceleration Equation of Motion Velocity as a Function of Time vt v0at ConstantAcceleration Equation of Motion Average Velocity Dav 12 v0 v ConstantAcceleration Equation of Motion Position as a Function of Time X X0D0t 12 at2 0 Galileo 1564 1642 was the first who showed that falling bodies move with constant acceleration 0 He also showed that objects of different weights fall with the m constant acceleration 0 The term free fall is used as an example of motion with constant acceleration where free means free from any effects other than gravity and fall is not referencing the object but Mmotion under the in uence of gravity alone 0 Special cases of free fall from rest occur so frequently and in so many different contexts that there is an equation that depicts position as a function of time where 1 2 x 2 0 Similarly velocity as a function of time is Dgt 0 And velocity as a function of position is v 2 gx

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