Newton-Raphson Method

A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.     What is the maximum height of the penny above the ground?

Find the root of the given function using a. Incremental Search Method b. Method of Successive Substitution c. Bisection Method F(x) = x* + 5x – 16x² -2x + 16 Note: 1. Tabulate and compare your results. 2. Use spreadsheets and show graph for the values of x.

For the following situation: A six foot person standing on a flat surface throws a javelin in the air. After traveling horizontally for 75 feet it reaches a peak height of 81 feet above the surface. a) Create a quadratic function (in any of the three forms) to match this situation. Let z be the horizontal distance in feet and h(r) be the height in feet b) How far horizontally does the javelin travel before it hits the ground? Round to the nearest foot. c) What is the range (all of the output values) of this function in the context of the javelin being thrown?