A rocket is thrown up into the air from an initial height. The vertical height of its trajectory is represented by the s(t) =-5t2 +21t + 20 where s is measured in meters and t in seconds. (a) What is the rocket's initial height? (b) What is the rocket's initial velocity? (c) Determine the object's average velocity during the first 2 seconds. (d) What will be its velocity when it hits the ground? (e) What is the maximum height achieved by the toy?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A rocket is thrown up into the air from an initial height. The vertical height of its trajectory
is represented by the s(t) =-5t2 +21t + 20 where s is measured in meters and t in seconds.
(a) What is the rocket's initial height?
(b) What is the rocket's initial velocity?
(c) Determine the object's average velocity during the first 2 seconds.
(d) What will be its velocity when it hits the ground?
(e) What is the maximum height achieved by the toy?
Transcribed Image Text:A rocket is thrown up into the air from an initial height. The vertical height of its trajectory is represented by the s(t) =-5t2 +21t + 20 where s is measured in meters and t in seconds. (a) What is the rocket's initial height? (b) What is the rocket's initial velocity? (c) Determine the object's average velocity during the first 2 seconds. (d) What will be its velocity when it hits the ground? (e) What is the maximum height achieved by the toy?
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