A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 104 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-161 +104t+3. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at (Simplify your answer.) The maximum height reached by the object is (Simplify your answer.) after launch.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 104
feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the
function h(t)=161²+104t+3. How long will it take the rocket to reach its maximum height? What is the
maximum height?
The rocket reaches its maximum height at
(Simplify your answer.)
The maximum height reached by the object is
(Simplify your answer.)
after launch.
Transcribed Image Text:K A toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with an initial velocity of 104 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=161²+104t+3. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at (Simplify your answer.) The maximum height reached by the object is (Simplify your answer.) after launch.
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