Driving Question: How can we predict the motion of an object in 1 dimension?
What is the relationship between displacement and motion?
There would not be displacement without motion.
In order to have displacement, you must be in motion so that you change direction.
Displacement Definition - how for you move in a straight line from one place to another.
Ex: If you move 45 meters north, then go 35 meters south, your displacement would be 10 meters.
Ex: If you go 52 meters west, then 69 meters east, your displacement would be 17 meters.
Motion Definition - a change in position with speed and direction
Motion can be measured in speed, velocity, or acceleration
Acceleration is measured in meters/second squared.
Speed is measured in mph, kph, or m/s.
Velocity is measured in m/s.
Why do two objects released at the same time and height hit the ground at the same time?
They will hit at the same time because gravity pushes them down at the same time.
It may look like the objects are not moving and are just sitting there.
The rate of gravity is -9.8 m/s.
The only way that they won't hit the ground at the same time is if air resistance pushes them down at the same time.
Without air resistance, any 2 objects would fall at the same time.
FINAL ANSWER: We can figure out what the speed, acceleration, direction, and velocity t to determine the direction, and distance of how far the object is going.
What is the relationship between velocity and acceleration?
Definition of Velocity - Speed in a given direction
EX: A train travels at 1004 meters in 8 seconds. Your velocity is 125.5 m/s.
Definition of Acceleration - Change in speed
Slope is rise over run.
If you accelerate 10 m/s in 5 feet, your slope is 2.
Definition of Speed - measure of motion
A car is going to go 750 miles for a road trip. It will go on an average rate of 50 miles per hour. It will take 15 hours to get to your destination.