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A ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt +C e−Dt, where y is given in m, and t is the time in s. At t = 0, y(0) = 0.06 m, the y component of the velocity is zero and the y component of the acceleration is ay(0)= 0.015 m/s2. As t approaches infinity, the y component of the velocity approaches vy([infinity]) = 0.4 m/s what is the formula for velocity?

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akande212

Answer:

The required equation is y(t) = -10.34 + 0.4t + 10.4e^(-0.038t)

The velocity is the first derivative of y(t)

The acceleration is the second derivative of y(t).

Explanation:

The required equation is found by taking the first and second derivative for velocity and acceleration respectively and setting the equations given to the boundary conditions given. The complete solution can be found in the attachment below.

Thank you for reading.

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