Projectile Motion In Exercises 27-40, use the model for projectile motion, assuming there is no air resistance and feet per second per second.
A bale ejector consists of two variable-speed belts at the end of a baler. Its purpose is to toss bales into a trailing wagon. In loading the back of a wagon, a bale must be thrown to a position 8 feet above and 16 feet behind the ejector.
(a) Find the minimum initial speed of the bale and the corresponding angle at which it must be ejected from the baler.
(b) The ejector has a fixed angle of . Find the initial speed required.
The provided data is:
Whereas, y is thrown position of the bale, x is distance behind the ejector.
The position vector is:
Now, the minimum initial speed v as a function of the angle θ, Because the bale must be thrown to the position (16, 8),
from the first equation substituting into the second equation and saving for v, we Obtain,
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