AP Calculus AB/BC

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Function of Time

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AP Calculus AB/BC

Definition

A function of time describes how one quantity varies with respect to time. In this case, v(t) = 5 - 2t represents how the velocity changes as time passes.

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Practice Questions (4)

A yo-yo moves along a straight line with its velocity as a function of time given by v(t) = 5 - 2t. At what time does the yo-yo’s motion change direction?
You shoot a ball horizontally off the edge of a chair. You observe that the vertical position of the ball as a function of time is described by y(t) = -9.81t^2 and that the horizontal position of the ball as a function of time is described by x(t) = 2t. Find the first derivative of y with respect to x: dy/dx.
You shoot a ball horizontally off the edge of a chair. You observe that the vertical position of the ball as a function of time is described by y(t) = -9.81t^2 and that the horizontal position of the ball as a function of time is described by x(t) = 2t. Find the second derivative of y with respect to x: d^2y/dx^2.
A particle's position as a function of time (t) is given by the vector-valued function r(t) = <2t^2 - 5t, t^2 + 3t>. At what time(s) is the particle slowing down at its maximum rate?

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Function of Time

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AP Calculus AB/BC

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Practice Questions (4)

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Function of Time

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AP Calculus AB/BC

Definition

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"Function of Time" also found in:

Practice Questions (4)

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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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