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Questions and Answers
What is the rate of change of displacement with respect to time?
What is the rate of change of displacement with respect to time?
What is the total length of the path traveled?
What is the total length of the path traveled?
What is the acceleration of an object under the sole influence of gravity?
What is the acceleration of an object under the sole influence of gravity?
What type of motion is characterized by motion along a straight line?
What type of motion is characterized by motion along a straight line?
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What is the equation that relates velocity, initial velocity, acceleration, and time?
What is the equation that relates velocity, initial velocity, acceleration, and time?
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What type of graph is used to show the relation between distance and time?
What type of graph is used to show the relation between distance and time?
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Study Notes
Motion in a Straight Line
Types of Motion
- Rectilinear motion: Motion along a straight line
- Translational motion: Motion in which all points of an object move in the same direction and at the same speed
Kinematic Quantities
- Displacement (s): Distance traveled in a specific direction
- Distance (d): Total length of the path traveled
- Speed (v): Rate of change of distance with respect to time
- Velocity (v): Rate of change of displacement with respect to time
- Acceleration (a): Rate of change of velocity with respect to time
Equations of Motion
-
First equation of motion: v = u + at
- v: final velocity
- u: initial velocity
- a: acceleration
- t: time
-
Second equation of motion: s = ut + (1/2)at^2
- s: displacement
- u: initial velocity
- a: acceleration
- t: time
-
Third equation of motion: v^2 = u^2 + 2as
- v: final velocity
- u: initial velocity
- a: acceleration
- s: displacement
Graphical Representation
- Distance-time graph: A graph of distance versus time
- Velocity-time graph: A graph of velocity versus time
- Acceleration-time graph: A graph of acceleration versus time
Motion with Constant Acceleration
- Uniformly accelerated motion: Motion with constant acceleration
- Freely falling bodies: Objects under the sole influence of gravity, with acceleration g = 9.8 m/s^2
Motion in a Straight Line
Types of Motion
- Motion along a straight line is known as rectilinear motion
- Translational motion occurs when all points of an object move in the same direction and at the same speed
Kinematic Quantities
- Displacement is the distance traveled in a specific direction
- Distance is the total length of the path traveled
- Speed is the rate of change of distance with respect to time
- Velocity is the rate of change of displacement with respect to time
- Acceleration is the rate of change of velocity with respect to time
Equations of Motion
- The first equation of motion relates final velocity, initial velocity, acceleration, and time: v = u + at
- The second equation of motion relates displacement, initial velocity, acceleration, and time: s = ut + (1/2)at^2
- The third equation of motion relates final velocity, initial velocity, acceleration, and displacement: v^2 = u^2 + 2as
Graphical Representation
- A distance-time graph plots distance versus time
- A velocity-time graph plots velocity versus time
- An acceleration-time graph plots acceleration versus time
Motion with Constant Acceleration
- Uniformly accelerated motion occurs when an object's acceleration is constant
- Freely falling bodies are objects under the sole influence of gravity, with an acceleration of 9.8 m/s^2
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Description
Understand the concepts of rectilinear motion, translational motion, displacement, distance, speed, and velocity. Learn how to differentiate between these kinematic quantities.