ME218 Homework 2

# ME218 Homework 2 - ME 218 ENGINEERING COMPUTATIONAL METHODS...

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ME 218 - ENGINEERING COMPUTATIONAL METHODS Homework # 2 Assigned: September 8 th , 2011 Due: September 15 th , 2011 Name: _____________________ UT EID: _______ Section Unique Number: _________________ Problem 1 Trajectory of a ball is defined in the (x,y) coordinates. The trajectory can be modeled using the equation below (the picture on the right hand side illustrates the problem) = tan ! ! ! ! ! ! !"# ! ! ! ! + ! The thrower’s ball leaves the hand at an elevation ! = 2 m, with initial velocity ! = 20 m/s and the distance to the catches is =35 m. You can assume that the gravity acceleration is = 9 . 81 m/s 2 . We need to determine at what angle ! should the ball be released. (a) Initial guess for the interval within which this initial angle must be have been selected to be 0 and / 2 radians. Can you perhaps explain the thinking behind this selection of the values for the angle that bracket the actual value of the angle? (b) Perform 3 iterations of the bisection method. Report only 2 decimal digits.

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ME218 Homework 2 - ME 218 ENGINEERING COMPUTATIONAL METHODS...

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