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A baseball is hit in the air. Its path can be modeled by the relation h = -2(d - 3)² + 45, where h represents the height above ground in metres, and d represents the horizontal distance travelled, also in metres. a) What is the vertex of this relation? b) What is the maximum height of the ball? c) How long did it take the ball to reach its maximum height? d) What is the height of the ball when it has travelled a horizontal distance of 6 metres?

A baseball is hit in the air. Its path can be modeled by the relation h = -2(d - 3)² + 45, where h represents the height above ground in metres, and d represents the horizontal distance travelled, also in metres. a) What is the vertex of this relation? b) What is the maximum height of the ball? c) How long did it take the ball to reach its maximum height? d) What is the height of the ball when it has travelled a horizontal distance of 6 metres?

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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4. A baseball is hit in the air. Its path can be modeled by the relation h = -2(d - 3)² + 45, where h represents the height above ground in metres, and d represents the horizontal distance travelled, also in metres. a) What is the vertex of this relation? b) What is the maximum height of the ball? c) How long did it take the ball to reach its maximum height? d) What is the height of the ball when it has travelled a horizontal distance of 6 metres?
Transcribed Image Text:4. A baseball is hit in the air. Its path can be modeled by the relation h = -2(d - 3)² + 45, where h represents the height above ground in metres, and d represents the horizontal distance travelled, also in metres. a) What is the vertex of this relation? b) What is the maximum height of the ball? c) How long did it take the ball to reach its maximum height? d) What is the height of the ball when it has travelled a horizontal distance of 6 metres?
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