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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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