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Gravitational Fields help

Qs. A space shuttle solid rocket boosters have a combined mass of 5.9x10^5 kg. They produce an average thrust of 12,000 KN. For how long would these engines need to burn to allow them to escape earths gravity?
Your solution should include
- mathematical steps
- written explanations of why each step has been taken
- descriptions of the physical relationship at play (??)

what ive done so far:
1. found earths escape velocity for the boosters:
V=√ 2GM/r
V= 11190.7

2.Power required from the boosters.
P=FV
P=1.34X10^11 J
and idk where to go from here
can you calculate the acceleration by the equation f/m = a, and then find the time it takes for it to reach the earth's escape velocity via suvat?
Original post by iTsJames123
can you calculate the acceleration by the equation f/m = a, and then find the time it takes for it to reach the earth's escape velocity via suvat?

idk if the acceleration is constant, i did work it out before and i got about 550 seconds

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