A golf ball is hit with a driver and neglecting almost all

Last updated: 8/30/2023

A golf ball is hit with a driver and neglecting almost all physical forces except gravity follows the path y 300 x I 600 2 The ball is on the ground at x 0 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 1 y dx 1 x 300 1 2 dx 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 8 f x e The graph of y 1 f x is given below Calculate the y coordinates of the three line segments using your answers from parts b d f Find the areas of the three rectangles in the second figure below using your answers from part e 1 f x