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An object with mass 162 kg is given an initial velocity −5ms-5ms in a medium that...

An object with mass 162 kg is given an initial velocity −5ms-5ms in a medium that exerts a resistive force with magnitude proportional to the square of the speed. The resistance is 80 N when the velocity is −2ms-2ms. Use g=−10ms2g=-10ms2

a)Write out a differential equation in terms of the velocity vv, and acceleration aa

b)Find the velocity v(t)v(t) for the object

d)State and interpret the end behavior for the solution found in part b.

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