AP Calculus AB/BC

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V'(t)

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AP Calculus AB/BC

Definition

The notation "v'(t)" denotes the first derivative of velocity with respect to time. It measures how an object's speed is changing at any given moment.

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"V'(t)" also found in:

Subjects (2)

Practice Questions (10)

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?
The velocity of an object is given by the function v(t) = 3t^2 - 2t + 1, where t represents time in seconds. What is the total displacement of the object from t = 1 to t = 4?
The velocity of an object moving along a straight line is given by the function v(t) = 2t + 1, where t represents time in seconds. What is the total displacement of the object from t = 0 to t = 5?
The velocity of an object is given by the function v(t) = t^2 - t, where t represents time in seconds. What is the total displacement of the object from t = 1 to t = 3?
What does the integral from a to b of v(t) represent in the context of a parametric function?
A particle moves along a straight line with a velocity given by the function (v(t) = 3t). What is the displacement of the particle from (t = 0) to (t = 2)?
A car travels along a highway with a velocity given by the function (v(t) = 4t). What is the displacement of the car from (t = 1) to (t = 3)?
A train moves along a track with a velocity given by the function (v(t) = 2t). What is the displacement of the train from (t = 2) to (t = 5)?
A bird flies with a velocity given by the function (v(t) = 3t). What is the displacement of the bird from (t = 1) to (t = 4)?

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V'(t)

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AP Calculus AB/BC

Definition

"V'(t)" also found in:

Subjects (2)

Practice Questions (10)

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that actually explain what's on your next test

V'(t)

from class:

AP Calculus AB/BC

Definition

Related terms

"V'(t)" also found in:

Subjects (2)

Practice Questions (10)

© 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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