5) A water balloon is catapulted into the air so that its height h, in meters, after t seconds is h = -4.9t² + 27t + 2.4. a) How high is the balloon after 1 second? b) For how long is the balloon more than 30 m high? c) What is the maximum height of the balloon?
5) A water balloon is catapulted into the air so that its height h, in meters, after t seconds is h = -4.9t² + 27t + 2.4. a) How high is the balloon after 1 second? b) For how long is the balloon more than 30 m high? c) What is the maximum height of the balloon?
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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![### Problem 5: Water Balloon Trajectory
A water balloon is catapulted into the air such that its height \( h \), in meters, after \( t \) seconds is described by the quadratic equation:
\[ h = -4.9t^2 + 27t + 2.4. \]
**Questions:**
a) How high is the balloon after 1 second?
b) For how long is the balloon more than 30 meters high?
c) What is the maximum height of the balloon?
d) When will the balloon burst as it hits the ground?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86db678-bc86-44fd-bd72-7c276c312ad6%2F3f9ef78c-f938-47fa-a1fd-e81a887c64e9%2Fsjxyg9m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 5: Water Balloon Trajectory
A water balloon is catapulted into the air such that its height \( h \), in meters, after \( t \) seconds is described by the quadratic equation:
\[ h = -4.9t^2 + 27t + 2.4. \]
**Questions:**
a) How high is the balloon after 1 second?
b) For how long is the balloon more than 30 meters high?
c) What is the maximum height of the balloon?
d) When will the balloon burst as it hits the ground?
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