6.7 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 500 m and is rising at a velocity of 125 m/s. Gravity then takes over. The height of the rocket as a function of time is 9.8 2 h(t) + 125t + 500 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 incre- ment 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.) Copy/paste your result for time of peak height into your heightPlotter file Save your plot as heightPlot.jpg (time on the x-axis, height on y-axis)

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6.7 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 500 m and is rising
at a velocity of 125 m/s. Gravity then takes over. The height of the rocket as
a function of time is
h(t)
(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.
9.8
2
+ 125t + 500 for t > 0
(b) Plot height versus time for times from 0 to 30 seconds. Use an incre-
ment 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.)
Copy/paste your result for time of peak height into your heightPlotter file
Save your plot as heightPlot.jpg (time on the x-axis, height on y-axis)
Transcribed Image Text:6.7 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 500 m and is rising at a velocity of 125 m/s. Gravity then takes over. The height of the rocket as a function of time is h(t) (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. 9.8 2 + 125t + 500 for t > 0 (b) Plot height versus time for times from 0 to 30 seconds. Use an incre- ment 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.) Copy/paste your result for time of peak height into your heightPlotter file Save your plot as heightPlot.jpg (time on the x-axis, height on y-axis)
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