   Chapter 12.3, Problem 33E

Chapter
Section
Textbook Problem

# Projectile Motion In Exercises 27-40, use the model for projectile motion, assuming there is no air resistance and g = 32 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 45 ∘ . Find the initial speed required.

To determine
The minimum initial speed of the bale and the corresponding angle y=8ft, x=16ft.

Explanation

Given:

The provided data is: y=8ft, x=16ft

Whereas, y is thrown position of the bale, x is distance behind the ejector.

Explanation:

The position vector is:

r(t)=(vcosθ)t.i^+[(vsinθ)t16t2]j^

Now, the minimum initial speed v as a function of the angle θ, Because the bale must be thrown to the position (16, 8),

so that, 16=(vcosθ)t   and 8=(vsinθ)t16t2

t=16vcosθ from the first equation substituting into the second equation and saving for v, we Obtain,

8=(vsinθ)16vcosθ16(16vcosθ)2or 1=2sinθcosθ5121v2cos2θo

(b)

To determine
The initial speed of bale when an ejector fixed an angle of 45° for y=8ft, x=16ft

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 