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Physics 1 Academic. Sections 2.7 – 2.9. Graphs of Motion. Graphs allow us to visually describe motion including velocity and acceleration. Table 2.2. Graph of Table 2.2. Graphs of Motion. This graph shows linearity .
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Physics 1 Academic Sections 2.7 – 2.9
Graphs of Motion • Graphs allow us to visually describe motion including velocity and acceleration.
Graphs of Motion • This graph shows linearity. • For every 1 second elapsed, the instantaneous speed increases by 10 m/s. • Or in other words, when t doubles, so does v, etc. • This is called a direct proportion.
Graphs of Motion • This graph gives us a curved line. • The relationship here is parabolic. • When we double time, distance quadruples, i.e. distance depends on time squared. • Notice that as time elapses, the line curves upward and gets more steep.
Graphs of Motion • The increased steepness or slope of the line is very significant. • This tells us the rate or speed of the object is increasing. • So, speed increases as time passes, for a falling object. • The increase in speed is 10 m/s which is due to the acceleration of gravity (g).
Air Resistance and Falling Objects • A feather and a coin fall at different rates. • This is due to air resistance. • If we put both in a vacuum tube and remove all the air, they will fall at the same rate.
Air Resistance and Falling Objects • Air resistance is significant for things like falling feathers or a sheet of paper. • Air resistance is less significant for coins, stones and baseballs. • In these situations air resistance may become negligible and the object can be considered to be free falling.
How Fast, How Far, How Quickly How Fast Changes. • Often confusion exists between the different values we have discussed. • How fast refers to speed and velocity. • This is represented by v=gt. • How far refers the distance fallen. • This is represented by d=1/2 gt2.
How Fast, How Far, How Quickly How Fast Changes. • Acceleration is how fast speed or velocity changes. • So it is a complex rate of a rate.