In an experiment to determine the viscosity of some oil, a ball is dropped into

Question

In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t) = A + Bt - C where y is given in m_r and r is the time in s. At t = 0, y(0) = 0.08 m, the y component of the velocity is zero and the component of the acceleration is a_y(0) = 0.01 m/s^2. As t approaches infinity, the y component of the velocity approach v_y(infinity) = 0.4 m/s. What is the value of A? Remember to include units. What is the value of B? Remember to include units. What is the value of C? Remember to include units. What is the value of D? Remember to include units.

Explanation / Answer

Here, y(t) = A + Bt - C * (alpha)-Dt

=> 0.08 = A - C

Also, B = 0.4 m/s

          D = 0.04/0.4

              = 0.1 m/s2

A = 0.08 + 0.01

    = 0.09 m

C = 0.01 m

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