A golf ball is hit with a driver, and neglecting almost all physical forces except gravity, follows the path y= 600 I + 2 The ball is on the ground at x= O and at x= 300. We will assume that the ball did not roll when it hit the ground. We would normally say that the drive was 300 yards long, which is the distance along the ground that the ball traveled. The actual distance that the ball travels is given by the arc length of the parabola. The arclength is given by the integral -300 300 1+ [y'] dx = 1+(-x/300+1/2) dr Problems 1. Evaluate the integral above using an electronic device. How far did the ball travel? 2. The graph of a function f(x) is given below. It consists of three line segments for 0 < x < 8. Each mark along the x-axis and y-axis is 1 unit. (a) Calculate the total length of f(x) for 0 x 8. (b) What is f'(x) for 0 < x < 3? (c) What is f'(x) for 3 < x < 4? (d) What is f'(x) for 4 < x