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a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s. Assume the ball experiences air resistance proportional to its velocity, given by a drag coefficient of b = 0.5 kg/s. At what time does it strike the ground? ie, find x(t) = height of the ball at time t, and solve x(t) = 0. You may need a graphing calculator to determine the intersection point. b) Draw a slope field for the equation = x - y, within (at least) the range -2 ≤x≤2, -2 ≤y ≤2 dz

a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s. Assume the ball experiences air resistance proportional to its velocity, given by a drag coefficient of b = 0.5 kg/s. At what time does it strike the ground? ie, find x(t) = height of the ball at time t, and solve x(t) = 0. You may need a graphing calculator to determine the intersection point. b) Draw a slope field for the equation = x - y, within (at least) the range -2 ≤x≤2, -2 ≤y ≤2 dz

Advanced Engineering Mathematics
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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a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s. Assume the ball experiences air resistance proportional to its velocity, given by a drag coefficient of b = 0.5 kg/s. At what time does it strike the ground? ie, find x(t) = height of the ball at time t, and solve x(t) = 0. You may need a graphing calculator to determine the intersection point. b) Draw a slope field for the equation == dz y, within (at least) the range -2 ≤ x ≤2, -2 ≤ y ≤2
Transcribed Image Text:a) A 4 kg cannonball is shot into the air with an initial upward velocity of +100 m/s. Assume the ball experiences air resistance proportional to its velocity, given by a drag coefficient of b = 0.5 kg/s. At what time does it strike the ground? ie, find x(t) = height of the ball at time t, and solve x(t) = 0. You may need a graphing calculator to determine the intersection point. b) Draw a slope field for the equation == dz y, within (at least) the range -2 ≤ x ≤2, -2 ≤ y ≤2
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