3. Composition and Resolution of Velocity
The composition of velocities involves vectorially combining two or more velocities acting on an object in different directions to determine the resultant velocity. Conversely, resolution of velocity breaks down a single velocity into its components usually along perpendicular axes, aiding in simplifying motion problems. These concepts are integral to understanding projectile motion, motion on inclined planes, and relative motion scenarios.
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What we have learnt
- The composition of velocity results in a single resultant vector from multiple individual velocities through vector addition.
- Resolution of velocity allows for the decomposing of a velocity vector into two perpendicular components, facilitating easier calculations.
- These processes are essential for analyzing a variety of motion scenarios, such as projectiles and inclined planes.
Key Concepts
- -- Composition of Velocity
- The process of combining two or more velocities to determine their resultant vector using vector addition.
- -- Resolution of Velocity
- The act of breaking down a single velocity vector into two perpendicular components, typically horizontal and vertical, to simplify motion analysis.
- -- Vector
- A quantity that has both magnitude and direction, such as velocity, displacement, force, and acceleration.
- -- Resultant Velocity
- The vector sum of all individual velocities acting on an object, giving the overall effect of those velocities.
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