A person launches a home-built rocket straight up into the air. At time ?=0 s the...
A person launches a home-built rocket straight up into the air.
At time ?=0 s the rocket is at rest at ?&=0 m with
?&=0 m/s. The position of the rocket is given by
?(?)=1 2(?&−?)?/− ?& 12?& /?0,
0<?<?&, where ?& is a positive constant and ? is the
acceleration of gravity. ?& is the time that it takes the fuel
to burn out.
a) (2 points) Model: How are you going to model this problem? b) (3
points) Visualize: List all known and unknown quantities that are
needed to solve the problem. c) (8 points) Solve: Find expressions
for the velocity and acceleration as a function of time. d) (4
points) Visualize/Solve: Make a graph of the acceleration vs. time
and the velocity vs. time. For your graphs you can use:
?&=40 ? ⋅?7/,?=10
?⋅?7/,??? ?&= 2 ?. You may also use a
computer to graph your plots if you like. e) (3 points) Assess:
Show that your expressions for the acceleration and velocity that
you found in part a) are dimensionally correct.
Homework Answers
Answer: As the expression given by you in the question is not clearly written, i assumed the equation in the following way and answered below.
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