The velocity of a rocket accelerating vertically from rest in a gravitational field g is given by mo v(t) = -gt + Vex log то — kt The initial mass of the rocket loaded with fuel is indicated by mọ, Vex indicates the velocity of the exhaust with respect to the rocket, and k is a positive constant. Integrate the equation above to find an equation for the position y as a function of time.
The velocity of a rocket accelerating vertically from rest in a gravitational field g is given by mo v(t) = -gt + Vex log то — kt The initial mass of the rocket loaded with fuel is indicated by mọ, Vex indicates the velocity of the exhaust with respect to the rocket, and k is a positive constant. Integrate the equation above to find an equation for the position y as a function of time.
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Transcribed Image Text:The velocity of a rocket accelerating vertically from rest in a gravitational
field g is given by
то
v(t) = -gt + Vex log
то — kt
The initial mass of the rocket loaded with fuel is indicated by mo, vex indicates
the velocity of the exhaust with respect to the rocket, and k is a positive
constant. Integrate the equation above to find an equation for the position
y as a function of time.
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