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Questions and Answers
Which type of linear motion involves variable velocity?
Which type of linear motion involves variable velocity?
What is the mathematical description of the position of a particle undergoing linear motion?
What is the mathematical description of the position of a particle undergoing linear motion?
According to Newton's first law of motion, what happens to objects that do not experience any net force?
According to Newton's first law of motion, what happens to objects that do not experience any net force?
In linear motion, what is the type of motion exhibited by an athlete running a 100-meter dash along a straight track?
In linear motion, what is the type of motion exhibited by an athlete running a 100-meter dash along a straight track?
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What can cause an object undergoing linear motion to change the direction of its motion?
What can cause an object undergoing linear motion to change the direction of its motion?
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Study Notes
Types of Linear Motion
- Variable velocity linear motion occurs when an object’s speed and/or direction changes over time.
- Examples include an athlete sprinting with varying speed during a race or a car accelerating or decelerating.
Mathematical Description of Position
- The position of a particle in linear motion can be described by equations involving time, initial position, speed, and acceleration.
- A common equation of motion is: ( x(t) = x_0 + vt + \frac{1}{2}at^2 ), where ( x ) is the position, ( x_0 ) is the initial position, ( v ) is the velocity, ( a ) is the acceleration, and ( t ) is time.
Newton's First Law of Motion
- According to Newton's First Law, an object not subjected to a net external force will maintain its state of rest or uniform motion.
- This establishes that inertia keeps objects in their current state unless a force causes a change.
Motion in Linear Motion Context
- An athlete running a 100-meter dash displays uniform linear motion if maintaining a consistent speed.
- The motion can become variable if the athlete speeds up during the run or slows down towards the finish line.
Change in Direction of Motion
- Changes in direction during linear motion can occur due to external forces like friction, gravity, or an applied force.
- Curved paths or sudden turns experienced in activities like racing or driving illustrate this principle in practice.
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Description
Test your knowledge of linear motion with this quiz! Explore the concepts of uniform and non-uniform linear motion, constant velocity, acceleration, and more.
