Velocity vector-valued function
Definition
A velocity vector-valued function represents the rate of change of an object's position with respect to time. It provides both the magnitude and direction of the object's velocity at any given time.
Analogy
Think of a velocity vector-valued function as a GPS navigation system that not only tells you how fast you're going but also gives you the direction to reach your destination.
Related terms
Acceleration vector-valued function: This term refers to a function that represents the rate of change of an object's velocity with respect to time.
Position vector-valued function: This term refers to a function that describes the position of an object in terms of its coordinates as a function of time.
Scalar field: This term refers to a mathematical concept where each point in space is associated with a scalar value, such as temperature or pressure.
"Velocity vector-valued function" appears in:
Additional resources (1)
Practice Questions (2)
- A particle's position as a function of time (t) is given by the vector-valued function r(t) = <3t^2 + t, 5t^3 - 2t>. Find the velocity vector-valued function, v(t), of the particle.
- A particle's position as a function of time (t) is given by the vector-valued function r(t) = <t^2 + 4t, 4t^3 - 3t>. Find the velocity vector-valued function, v(t), of the particle.
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.