3) A rocket is launched vertically. At time t=0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of 450 m and is rising at a velocity of 130 m/s. Gravity then takes over. The height of the rocket as a function of time is h(t)= (-5.4/2) t^2 +130 t + 450 for t>0 (a) Create a function called height that accepts time as an input and in returns the height of the rocket. Use your function your solutions to parts b and c. (b) Plot height versus time for times from 0 to 30 seconds. Use an increment of 0.5 second in your time vector. (c) Find the time when the rocket starts to fall back to the ground. (The max function will be helpful in this exercise.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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3) A rocket is launched vertically. At time t=0, the
rocket's engine shuts down. At that time, the
rocket has reached an altitude of 450 m and is
rising at a velocity of 130 m/s. Gravity then takes
over. The height of the rocket as a function of time
is
h(t)= (-5.4/2) t^2 +130 t + 450 for t>0
(a) Create a function called height that accepts
time as an input and
returns the height of the rocket. Use your function
in your solutions to
parts b and c.
(b) Plot height versus time for times from 0 to 30
seconds. Use an increment
of 0.5 second in your time vector.
(c) Find the time when the rocket starts to fall back
to the ground. (The max function will be helpful in
this exercise.)
Transcribed Image Text:3) A rocket is launched vertically. At time t=0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of 450 m and is rising at a velocity of 130 m/s. Gravity then takes over. The height of the rocket as a function of time is h(t)= (-5.4/2) t^2 +130 t + 450 for t>0 (a) Create a function called height that accepts time as an input and returns the height of the rocket. Use your function in your solutions to parts b and c. (b) Plot height versus time for times from 0 to 30 seconds. Use an increment of 0.5 second in your time vector. (c) Find the time when the rocket starts to fall back to the ground. (The max function will be helpful in this exercise.)
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