- #1
lotrgreengrapes7926
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A spaceship of mass [tex]m\ \text{kg}[/tex] is propelled by converting [tex]r\ \text{kg}[/tex] of its mass into energy every second. Assume no friction and a perfectly efficient system.
1) Find the velocity of the spaceship at time [tex]t[/tex].
2) Find its acceleration at time [tex]t[/tex].
3a) Find the distance it has traveled at time [tex]t[/tex].
3b) Find the distance it has traveled just before it becomes purely energy.
4a) Find how much time has elapsed with respect to the spaceship at time [tex]t[/tex].
4b) Find how much time has elapsed with respect to the spaceship by the time it becomes purely energy.
This isn't homework, but I just wanted to check that my methods were correct.
1) Find the velocity of the spaceship at time [tex]t[/tex].
2) Find its acceleration at time [tex]t[/tex].
3a) Find the distance it has traveled at time [tex]t[/tex].
3b) Find the distance it has traveled just before it becomes purely energy.
4a) Find how much time has elapsed with respect to the spaceship at time [tex]t[/tex].
4b) Find how much time has elapsed with respect to the spaceship by the time it becomes purely energy.
This isn't homework, but I just wanted to check that my methods were correct.