The analytical solution for free-fall with v²-dependent air drag is: 2m Yanalyt (t) = yo+ DpA In cash (✓DAg) 2m 2mg Vanalyt (t): = tanh √ DpA (√ DoAg) 2m Exercise 2: Write code for the analytical velocity solution In the code cell below, we already implemented the equation for y_analyt. Add the equation for the velocity, storing the result in v_analyt. The hyperbolic tangent function is available as np. tanh. For the time t, use the vector time that we populated in the loop above. Note: If your code generates any error message (in red), you need to fix this error before continuing. Get help from your instructor or classmates if needed. You will need to use some parentheses ( ) for the trigonometric and square root functions, and to enforce the order of operations. However, use them only where necessary; an excessive number of parentheses makes it harder to debug your code. [ ] # Analytical solution y_analyt = y0 + 2*m/(D✶rho*A) * np.log(np.cosh(np.sqrt(D*rho*A*g/(2*m))*time)) # YOUR CODE HERE raise NotImplementedError() Now let's print some values v_analyt. (When printing large arrays, the print() command is smart enough not to print all elements, but only a few at the beginning and at the end of the array.) Verify that the velocities make sense! (l.e., are the values reasonable and in agreement with your measurements?) [ ]: print('v_analyt = ', v_analyt)