1.) The displacement of an object thrown up into the air is given by d(t)=vot4.9t2. For vo=12m/s determine the following using Python: a.) Using Matplotlib make a plot of the function d(t) from t=0s to t=2.5s. b.) Using the definition of a derivative ( limh0[2hf(x+h)f(xh)]) create a function in python to numerically calculate the derivative of the function. c.) Use your derivative function to plot the derivative of the function d(t). d.) Using Sympy compute the symbolic derivative in python. e.) What is the maximum height of the projectile? (Hint: You can use the solve function from Sympy)