Answered: b) What is the maximum height of the…

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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What is the maximum height of the ball

what is the horizontal distance when this occurs

what is the height of the ball at horizontal distance of 20m

at what height was the ball kicked

Transcribed Image Text:C Ex 3) The cables of a suspension bridge form parabolas. If the minimum point of the centre cable is placed at the origin, determine an equation for each parabola. Describe the values of x for which each equation is valid. (-50,30) (logo) ←50 m the 100 m -01 (50.30) 50 m → eel is valid for 30 m + (00,0) b) What is the maximum height of the ball? 49m c) What is the horizontal distance when this occurs? 28m e) At what height was the ball kicked? d) What is the height of the ball at a horizontal distance of 20 m? 45m -5 < x < 50 3 250 16 Ex 4) The path of a soccer ball is modelled by the relation h = -(d- 28)² + 49, where d is the horizontal distance, in metres, after it was kicked, and h is the height, in metres, above the ground. y = a (x-h) ²+ k (28,+49) a) Sketch the path of the soccer ball. for the parobla is the middle ya (x0) ²0 y=ax² Sub (50,30) 30=450² 30 = a.2500 30 2504 36m h uo 30 دانی 20 = CA A :.y= 30 X = 28 Y = 49 J 3 250 # 40 X In the linea. relation. Is it 2 50 able of L ate the f d 3 3 Page | 11 3 5 ces enc ec at V

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