The trajectory of a ball can be computed with; * +Yo 2v, cos² 8, y= (tan 6, )x - where y= the height (m). 0, = the initial angle (radians). v, = the initial velocity (m/s), g is the gravitational constant = 9.81 m/s", and yo = the initial height (m). For 6,= 60°, yo = 1 m, v, = 30 m/s; use the Newton-Raphson optimization method to detemine the initial guess, maximum height, for maximum height actual value of distance (x) and iteration number. Plot the trajectory graph and show the maximum height in the graph.
The trajectory of a ball can be computed with; * +Yo 2v, cos² 8, y= (tan 6, )x - where y= the height (m). 0, = the initial angle (radians). v, = the initial velocity (m/s), g is the gravitational constant = 9.81 m/s", and yo = the initial height (m). For 6,= 60°, yo = 1 m, v, = 30 m/s; use the Newton-Raphson optimization method to detemine the initial guess, maximum height, for maximum height actual value of distance (x) and iteration number. Plot the trajectory graph and show the maximum height in the graph.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:ONLY MANUEL SOLVE
ONLY MANUEL SOLVE
ONLY MANUEL SOLVE
The trajectory of a ball can be computed with:
y= (tan 6, )x -
2 + Yo
2v cos 6,
where y= the height (m). 0, = the initial angle (radians), v, = the initial velocity (m/s). g is the
gravitational constant = 9.81 m/s?, and y, = the initial height (m).
For 0,= 60° , yo = 1 m., v, = 30 m/s; use the Newton-Raphson optimization method to detemine the
initial guess, maximum height, for maximum height actual value of distance (x) and iteration number.
Plot the trajectory graph and show the maximum height in the graph.
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