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Mathematics 8 Online
OpenStudy (anonymous):

The horizontal range, R, in feet that a baseball travels is modeled by this formula. The initial velocity, v, is 90 feet per second. The ball is pitched at an angle of θ degrees with the horizontal. When θ = 26º the ball travels 200 feet. At what other value of θ witll the ball travel 200 feet? (Enter only the number.)

jimthompson5910 (jim_thompson5910):

Check out this page http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html and scroll to the section "Angle of Launch"

OpenStudy (anonymous):

ok thansk

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

how do i use it because i put 200 in then i put all these numbers in?

jimthompson5910 (jim_thompson5910):

gR/v^2 9.8*200/(27.432^2) ... Note: 90 ft/s = 27.432 m/s 2.6046 but there's a problem, this should be in the range [-1, 1]

jimthompson5910 (jim_thompson5910):

so it seems like something is off

OpenStudy (anonymous):

ohh something off with the website ? u told me to use?

jimthompson5910 (jim_thompson5910):

no, it looks correct something seems off with the numbers given

jimthompson5910 (jim_thompson5910):

oh wait, I'm using the wrong numbers, hold on

OpenStudy (anonymous):

hhaha well if there is then im out luck becuase they way i wrote it is the way it givn on my paper???

jimthompson5910 (jim_thompson5910):

(1/2)*arcsin(gR/v^2) (1/2)*arcsin(32*200/90^2) (1/2)*arcsin(0.790123) (1/2)*52.1970075 or (1/2)*(180 - 52.1970075) 26.09850375 or 63.90149625

jimthompson5910 (jim_thompson5910):

So the other theta value is roughly 63.90149625 degrees

OpenStudy (anonymous):

Thank u sooo much dude :)

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