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above the ground. The height, h(t), in metres, of the disk after launch is modelled by the function h(t) = -5t² + 30t + 12, where t is time in seconds. a) When will the disk reach the ground? b) What is the maximum height the disk reaches?

above the ground. The height, h(t), in metres, of the disk after launch is modelled by the function h(t) = -5t² + 30t + 12, where t is time in seconds. a) When will the disk reach the ground? b) What is the maximum height the disk reaches?

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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8. Target-shooting disks are launched into the air from a machine 12 m above the ground. The height, h(t), in metres, of the disk after launch is modelled by the function h(t) = -5t² + 30t + 12, where t is time in seconds. a) When will the disk reach the ground? b) What is the maximum height the disk reaches?
Transcribed Image Text:8. Target-shooting disks are launched into the air from a machine 12 m above the ground. The height, h(t), in metres, of the disk after launch is modelled by the function h(t) = -5t² + 30t + 12, where t is time in seconds. a) When will the disk reach the ground? b) What is the maximum height the disk reaches?
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