The 15 200-kg lunar lander is descending onto themoons surface with a velocity of 2 m /s

Chapter 3, Problem 3/184

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The \(15200-\mathrm{kg}\) lunar lander is descending onto the moon's surface with a velocity of \(2 \mathrm{~m} / \mathrm{s}\) when its retro-engine is fired. If the engine produces a thrust T for \(4 \mathrm{~s}\) which varies with time as shown and then cuts off, calculate the velocity of the lander when \(t=5 \mathrm{~s}\), assuming that it has not yet landed. Gravitational acceleration at the moon's surface is \(1.62 \mathrm{~m} / \mathrm{s}^2\).

                                               

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