5. A field-hockey ball must stay below waist height, approximately 1 m, when shot; otherwise, it is a dangerous ball. Sonia hits the ball. The function h(t) 3t² +9t where h(t) is in metres and t is in seconds, models the height of the ball. Has Sonia shot a dangerous ball? Explain with the use of mathematical reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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5. A field-hockey ball must stay below waist height, approximately 1 m, when
shot; otherwise, it is a dangerous ball. Sonia hits the ball. The function
h(t): 3t² +9t where h(t) is in metres and t is in seconds, models the
height of the ball. Has Sonia shot a dangerous ball? Explain with the use of
mathematical reasoning.
Transcribed Image Text:5. A field-hockey ball must stay below waist height, approximately 1 m, when shot; otherwise, it is a dangerous ball. Sonia hits the ball. The function h(t): 3t² +9t where h(t) is in metres and t is in seconds, models the height of the ball. Has Sonia shot a dangerous ball? Explain with the use of mathematical reasoning.
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