Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 30.1, Problem 1E
Program Plan Intro
To multiply the polynomials
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Use Newton's Method to determine x5 for f(x) = x³ – 7x² + 6x – 2 if xo = 4.
n° +3
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n3 + 9
(Use the Ad-hoc Calculations method).
The position as a function of time (x(t), y(t))
of a projectile fired with a speed of vo at an
angle a is given by
x(t) = v₁cosα t
y(t) = vo sina.t-
1
2812
Ꮎ
1
where
g = 9.81 m/s². The polar coordinates of
the projectile at time t are (r(t), 0(t)), where
r(t) = √x(t)²+y(t)² and tane = y(1) Consider the case where vo
x(t)
and 0
=
70°. Determine r(t) and 0(t) for t = 1, 6, 11,
31s.
=
162 m/s
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