(a) A pilot will black out if her acceleration exceeds a limit (typically ~ 5 gees)....

 

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(a) A pilot will black out if her acceleration exceeds a limit (typically ~ 5 gees). We don't want that on our space rockets! If the engines are firing at max burn rate and exhaust velocity, will she experience higher, or lower, acceleration as her journey proceeds? Or, when the engines are firing, is this a constant acceleration situation? (b) Write a differential equation for the velocity of a rocket launching from the ground, with fixed burn rate b and ejection velocity u. We consider only the beginning of the journey, so F = mg. What is the acceleration as a function of time? What is the velocity as a function of time? (a) A pilot will black out if her acceleration exceeds a limit (typically ~ 5 gees). We don't want that on our space rockets! If the engines are firing at max burn rate and exhaust velocity, will she experience higher, or lower, acceleration as her journey proceeds? Or, when the engines are firing, is this a constant acceleration situation? (b) Write a differential equation for the velocity of a rocket launching from the ground, with fixed burn rate b and ejection velocity u. We consider only the beginning of the journey, so F = mg. What is the acceleration as a function of time? What is the velocity as a function of time?

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Answer a As the ride progresses acceleration increases as speed and burn rate c... View the full answer