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Suppose the thrust force of a rocket varies with time t as F = 250(3t2 + 2t). Then find out the total impulse for a burn duration of 4s.

Suppose the thrust force of a rocket varies with time t as F = 250(3t2 + 2t). Then find out the total impulse for a burn duration of 4s. Correct Answer 20000 Ns

The total impulse can be obtained by integrating the force F with respect to time t from 0 to 3. The total impulse for a varying force F is obtained by It = ∫Fdt. It = 250 x (tb3 + tb2) = 250 x (64 + 16) = 20,000 Ns.

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