1. The problem statement, all variables and given/known data
After a short engine firiing, an atmosphere-probing rocket reaches 4.6km/s. If the rocket must land within 50km of its launc site, what's the max allowable deviation from a vertical trajectory.
2. Relevant equations
none
3. The attempt at a solution
Given by the book:
x = (vi^2/g)sin 2Θ
50,000m = (vi^2/-9.8)sin 2Θ
sin2Θ = (gx/vi^2) = 0.0232
Again this is really frustrating, I take g = -9.8 and x = 50,000m, vi = 4600m/s
but I get -0.0232.
What is wrong here?
If I use a positive g, I get 0.0232 but that would be rubbish.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
After a short engine firiing, an atmosphere-probing rocket reaches 4.6km/s. If the rocket must land within 50km of its launc site, what's the max allowable deviation from a vertical trajectory.
2. Relevant equations
none
3. The attempt at a solution
Given by the book:
x = (vi^2/g)sin 2Θ
50,000m = (vi^2/-9.8)sin 2Θ
sin2Θ = (gx/vi^2) = 0.0232
Again this is really frustrating, I take g = -9.8 and x = 50,000m, vi = 4600m/s
but I get -0.0232.
What is wrong here?
If I use a positive g, I get 0.0232 but that would be rubbish.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
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