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+125t+500 for t>0 2 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. (b) Plot height vs. 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

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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+125t+500 for t>0
2
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.
(b) Plot height vs. 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: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+125t+500 for t>0 2 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. (b) Plot height vs. 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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