00:01
Okay, we know the equation for the kinetic energy of the rocket, and we know that dv over dt is 15, dm over dt is negative 10.
00:10
So we know that we can now write this as one -half d -m over d -t, v squared, times t plus m of t, v of t, d, v of t, d, v of t, d, v over d -t, negative 5, kilograms v squared per second squared.
00:52
Okay, now given this, we know that at time when m equals 200 kilograms, v equals 500 meters per second, we have negative 5 times 5 ,000 squared plus 15 times 2 ,000 times 5 ,000...