1. John's cricket ball is hit up in the air, and its height is modeled by h =-3(t – 2)² + 12.5 where 'h' is the height in metres and t is the time in seconds after it was hit. a) What is the maximum height of the cricket ball? [1] b) After how many seconds does it reach its maximum height? c) How high above the ground was the ball when it was hit? (Hint: the initial height) d) What was the height of the ball after 2.4 seconds?
1. John's cricket ball is hit up in the air, and its height is modeled by h =-3(t – 2)² + 12.5 where 'h' is the height in metres and t is the time in seconds after it was hit. a) What is the maximum height of the cricket ball? [1] b) After how many seconds does it reach its maximum height? c) How high above the ground was the ball when it was hit? (Hint: the initial height) d) What was the height of the ball after 2.4 seconds?
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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![1. John's cricket ball is hit up in the air, and its height is modeled by h = -3(t – 2)² + 12.5 where
'h' is the height in metres and 't' is the time in seconds after it was hit.
a) What is the maximum height of the cricket ball? [1]
b) After how many seconds does it reach its maximum height?
c) How high above the ground was the ball when it was hit?
(Hint: the initial height)
d) What was the height of the ball after 2.4 seconds?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a454ab9-8aed-4cb1-8d8f-c699aae943d8%2F1fdfde23-b438-4be9-a459-cd96e5fd037a%2Fqrd9atw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. John's cricket ball is hit up in the air, and its height is modeled by h = -3(t – 2)² + 12.5 where
'h' is the height in metres and 't' is the time in seconds after it was hit.
a) What is the maximum height of the cricket ball? [1]
b) After how many seconds does it reach its maximum height?
c) How high above the ground was the ball when it was hit?
(Hint: the initial height)
d) What was the height of the ball after 2.4 seconds?
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