4. A baseball is being thrown and its height after being hit can be modelled by the function: T(s) =-4.952 + 5s + 2 where s is measured in seconds and T in metres. a) Find the average rate of change of the ball over the interval [0, 2.3] b) Find the derivative of the function, 7'(s), using the first principles. c) Find 7'(0.5). Based on this scenario, interpret the meaning of your result. At what time is the rate of change of the height -2 m/s? e) When is the ball at its highest point in air (i.e. not rising nor dropping)