Question
In: Advanced Math
Tiffany is a model rocket enthusiast. She has been working on a pressurized rocket filled with...
Tiffany is a model rocket enthusiast. She has been working on a pressurized rocket filled with nitrous oxide. According to her design, if the atmospheric pressure exerted on the rocket is less than 10 pounds/sq.in., the nitrous oxide chamber inside the rocket will explode. Tiff worked from a formula p=14.7e−h/10p=14.7e−h/10 pounds/sq.in. for the atmospheric pressure hh miles above sea level. Assume that the rocket is launched at an angle of αα above level ground at sea level with an initial speed of 1400 feet/sec. Also, assume the height (in feet) of the rocket at time tt seconds is given by the equation y(t)=−16t2+1400sin(α)ty(t)=−16t2+1400sin(α)t. [UW]
a. At what altitude will the rocket explode?
b. If the angle of launch is αα = 12∘∘, determine the minimum
atmospheric pressure exerted on the rocket during its flight. Will
the rocket explode in midair?
c. If the angle of launch is αα = 82∘∘, determine the minimum
atmospheric pressure exerted on the rocket during its flight. Will
the rocket explode in midair?
d. Find the largest launch angle αα so that the rocket will not
explode.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
You have entered a model rocket contest with your friend, Tiffany. You have been working on...
You have entered a model rocket contest with your
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filled with nitrous oxide. Tiffany has determined the minimum
atmospheric pressure at which the rocket fuel is stable. Based not
hat value, and the equations given below, your task is to determine
the optimum launch angle and initial velocity to maximize flight
time. The goal is to re-use your rocket capsule, so you really want
to avoid a fuel explosion.
The...
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atmospheric pressure at which the rocket fuel is stable. Based not
hat value, and the equations given below, your task is to determine
the optimum launch angle and initial velocity to maximize flight
time. The goal is to re-use your rocket capsule, so you really want
to avoid a fuel explosion.
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PLEASE SHOW ON THE STEPS ON THE CALCULATOR, THANK YOU!
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