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A(t)

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AP Calculus AB/BC

Definition

The term "a(t)" represents the acceleration of an object at a specific time. It measures how quickly the velocity of an object is changing.

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"A(t)" also found in:

Subjects (3)

Practice Questions (4)

A soccer player kicks a ball in a straight line. The position of the ball as a function of time is given by *s(t) = t^2 - 3t + 1*. What is a(t), the acceleration of the ball as a function of time?
The total assets of a stock trader can be modeled by A(t)=1000-t^3. What is the second derivative of the assets with respect to time.
The amount of money in a savings account is given by the function A(t), where t is measured in years and A is measured in dollars. The rate of change of money is proportional to the square root of the current amount of money. When the account contains $10,000, the amount of money is increasing at $1,000/year. What is the differential equation that represents this situation?
The rate of change of the surface area of a sphere with respect to time is proportional to the square of the radius. At t = 0, the radius is 2 cm, and the rate of change of the surface area is 16 cm^2/s. If A(t) is the surface area of the sphere, what is the differential equation that represents this situation?

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