Kinematics
Kinematics
is
the
science of describing
the motion of objects
using words, diagrams,
numbers, graphs, and
equations.
The
Lesson 1
Describing Motion with Words
•
Distance
•
Displacement
•
Speed
•
Velocity
Distance and Displacement
Distance is a scalar quantity which refers to "how much ground an object has covered" during its motion.
Displacement is a vector quantity which refers to
"how far out of place an object is"; it is the object's change in position.
A physics teacher walks 4 meters East, 2 meters South, 4 meters West, and finally 2 meters North.
Speed and
Velocity
Speed
Speed is a scalar quantity which refers to "how fast an object is moving." A fast-moving object has a high speed while a slow-moving object has a low speed. An object with no movement at all has a zero speed
Velocity
Speed and
Velocity
Instantaneous Speed - speed at any given instant in time. Average Speed - average of all instantaneous speeds;
Lesson 2 focuses on the use of
diagrams to describe motion. The two
most commonly used types of
diagrams used to describe the motion
of objects are:
ticker tape diagrams
vector diagrams
Lesson 2
The distance between dots on a ticker tape represents the object's position change during that time interval. A large distance between dots indicates that the object was moving fast during that time interval. A small distance between dots means the object was moving slow during that time interval.
Ticker Tape Diagrams
Ticker Tape
Diagrams
Vector Diagrams
Vector Diagrams
In a vector diagram, the magnitude of a vector is represented by the size of the vector arrow. If the size of the arrow in each consecutive frame of the vector diagram is the same, then the magnitude of that vector is constant.
Describing Motion with Position vs. Time
Graphs
The Meaning of Shape for a p-t
Graph
Describing Motion with Position vs. Time
Graphs
Now consider a car moving with a rightward (+), changing velocity - that is, a car that is moving rightward but speeding up or
Describing Motion with Position vs. Time
Graphs
Now consider a car moving at a constant velocity of +5 m/s for 5 seconds, abruptly
Describing Motion with Position vs. Time
Graphs
Determining the Slope on a p-t
Graph
The Meaning of Slope for a v-t Graph
Consider a car moving with a constant velocity of +10 m/s. A car moving with a constant
The Meaning of Slope for a v-t
Graph
Now consider a car moving with a changingThe Meaning of Slope for a v-t
Graph
From 0 s to 4 s: slope = 0 m/s2
Lesson 4 : Describing Motion with Velocity vs. Time Graphs
The Meaning of Shape for a v-t Graph
Lesson 4 : Describing Motion with Velocity vs. Time Graphs
Now consider a car moving with a rightward (+), changing velocity - that is, a car that is moving rightward but speeding up or accelerating. Since the car is moving in the positive direction and speeding up, the car is said to have a positive
Determining the Slope on a v-t
Graph
Lesson 4 : Describing Motion
with Velocity vs. Time
Graphs
The Meaning of Shape for a v-t
Graph
The Meaning of Slope for a v-t
Graph
Relating the Shape to the Motion
Determining the Slope on a v-t
Graph
Determining the Area on a v-t
Lesson 4 : Describing Motion
with Velocity vs. Time Graphs
The velocity vs. time graphs for the two types of motion - constant velocity and changing