The
Height of a Falling Object
The height of an object dropped, thrown or
fired can be computed using quadratic equations. The general formula is h = –16t2 + v0t + h0,
where h is the object’s height (in feet), t is time (in seconds), h0 is the
object’s initial height (that is, its height at t = 0 seconds) and v0 is the
object’s initial velocity (that is, its speed at t = 0 seconds) in feet per
second. If the object is tossed, thrown, or fired upward, v0 is
positive. If the object is thrown downward, v0 is negative. If the
object is dropped, v0 is zero. The object reaches the ground when h =
0. (The effect of air resistance is ignored.)
Alfi Blog
April 18, 2026
Admin
Bandung Indonesia
The
Height of a Falling Object
The height of an object dropped, thrown or
fired can be computed using quadratic equations. The general formula is h = –16t2 + v0t + h0,
where h is the object’s height (in feet), t is time (in seconds), h0 is the
object’s initial height (that is, its height at t = 0 seconds) and v0 is the
object’s initial velocity (that is, its speed at t = 0 seconds) in feet per
second. If the object is tossed, thrown, or fired upward, v0 is
positive. If the object is thrown downward, v0 is negative. If the
object is dropped, v0 is zero. The object reaches the ground when h =
0. (The effect of air resistance is ignored.)
Work Problems
REVIEW
Solve work
problems by filling in the table below. In the work formula Q = rt (Q = quantity, r = rate,
and t = time), Q is
usually ‘‘1.’’ Usually the equation to solve is:
Alfi Blog
April 17, 2026
Admin
Bandung Indonesia
Work Problems
REVIEW
Solve work
problems by filling in the table below. In the work formula Q = rt (Q = quantity, r = rate,
and t = time), Q is
usually ‘‘1.’’ Usually the equation to solve is:
Now that we
can set up these problems, we are ready to solve them. For each of the previous
examples and problems, a desired revenue will be given. We will set that
revenue equal to the revenue equation. This will be a quadratic equation. Some
of these equations will be solved by factoring, others by the quadratic
formula. Some problems will have more than one solution.
Alfi Blog
April 16, 2026
Admin
Bandung Indonesia
Now that we
can set up these problems, we are ready to solve them. For each of the previous
examples and problems, a desired revenue will be given. We will set that
revenue equal to the revenue equation. This will be a quadratic equation. Some
of these equations will be solved by factoring, others by the quadratic
formula. Some problems will have more than one solution.
Revenue
A common
business application of quadratic equations occurs when raising a price results
in lower sales or lowering a price results in higher sales. The obvious
question is what to charge to bring in the most revenue. This problem is
addressed in Algebra II and Calculus. The problem addressed here is finding a
price that would bring in a particular revenue.
Alfi Blog
April 15, 2026
Admin
Bandung Indonesia
Revenue
A common
business application of quadratic equations occurs when raising a price results
in lower sales or lowering a price results in higher sales. The obvious
question is what to charge to bring in the most revenue. This problem is
addressed in Algebra II and Calculus. The problem addressed here is finding a
price that would bring in a particular revenue.
Quadratic Applications
Most of the
problems in this chapter are not much different from the word problems in
previous chapters. The only difference is that quadratic equations are used to
solve them. Because quadratic equations usually have two solutions, some of
these applied problems will have two solutions. Most will have only one-one of
the ‘‘solutions’’ will be invalid. More often than not, the invalid solutions
are easy to recognize.
Alfi Blog
April 14, 2026
Admin
Bandung Indonesia
Quadratic Applications
Most of the
problems in this chapter are not much different from the word problems in
previous chapters. The only difference is that quadratic equations are used to
solve them. Because quadratic equations usually have two solutions, some of
these applied problems will have two solutions. Most will have only one-one of
the ‘‘solutions’’ will be invalid. More often than not, the invalid solutions
are easy to recognize.
