140 likes | 245 Vues
Learn about linear and parabolic motion graphs, acceleration due to gravity, air resistance impact, speed, distance, and velocity concepts in physics. Explore how to interpret and analyze motion graphs effectively.
E N D
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.