A water balloon is catapulted into the air so that its height h, in meters after t seconds is h=-5t2+27t+3. A) How high is the balloon after 1 second?  B) For how long is the balloon more than 30m high? C) When will the balloon burst as it hits the ground?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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A water balloon is catapulted into the air so that its height h, in meters after t seconds is h=-5t2+27t+3.

A) How high is the balloon after 1 second? 

B) For how long is the balloon more than 30m high?

C) When will the balloon burst as it hits the ground?

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