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Velocity Function

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AP Calculus AB/BC

Definition

The velocity function represents the rate at which an object's position is changing with respect to time. It gives the instantaneous velocity of an object at any given time.

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"Velocity Function" also found in:

Subjects (4)

Practice Questions (15)

A car drives along the highway with its velocity function given by *v(t) = 5t - 10*. At what time, t, is the car momentarily at rest?
While playing a computer game, you observe that the position of the ball as a function of time is given by *s(t) = 2t^2*. Which of the following correctly describes the velocity function, v(t), of the ball?
A working ant moves in a straight line with its velocity function given by v(t) = t^2 - 3t + 2. During which time intervals is the ant moving to the right?
A particle moves along the y-axis, and its velocity function is given by v(t) = 4 - t. During which time interval/s is the particle speeding up?
Consider a particle moving along a path. The position function of the particle is given by s(t) = t^3 - 2t^2 + 4t - 3. What is the velocity function of the particle?
Consider a particle moving along a path. The velocity function of the particle is given by v(t) = 2t - 5. What is the acceleration function of the particle?
Consider a particle moving along a path. The velocity function of the particle is given by v(t) = 4t - 3. What is the position function of the particle?
Consider a particle moving along a path. The velocity function of the particle is given by v(t) = 3t^2 + 2t - 5. What is the position function of the particle?
Consider a particle moving along a path. The velocity function of the particle is v(t) = 3e^t - 2t. What is the position function of the particle?
How can we find the acceleration function of an object given its velocity function?
If the velocity function of a car is v(t) = 3e^t + 2, what is the acceleration of the car at t = 1?
How can we find the position function of an object given its velocity function?
Consider a particle moving along a path. The acceleration function of the particle is given by a(t) = 6t + 2. What is the velocity function of the particle?
If the velocity function of a ball is v(t) = 5t^2 + 2t, what is the acceleration of the ball at t = 2?
What is the role of the velocity function v(t) in calculating the displacement of a parametric function?

Additional resources (1)

AP Calculus AB/BC - Unit 8 Overview: Applications of Integration

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that actually explain what's on your next test

Velocity Function

from class:

AP Calculus AB/BC

Definition

"Velocity Function" also found in:

Subjects (4)

Practice Questions (15)

Additional resources (1)

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study guides for every class

that actually explain what's on your next test

Velocity Function

from class:

AP Calculus AB/BC

Definition

Related terms

"Velocity Function" also found in:

Subjects (4)

Practice Questions (15)

Additional resources (1)

© 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.

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