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Thrust on the satellite, F = -vdM/dt = -v(αv). Calculate the acceleration if F = -αv²/M.

1. αv²/M
2. -αv²/M
3. αv/M
4. -αv/M

Correct answer: -αv²/M

Solution

The force F is given as -αv²/M. Using Newton's second law, F = ma, the acceleration a is F/M. Substituting F, we get a = (-αv²/M)/M = -αv²/M, which matches option B.

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