Example
An object is dropped from the roof of a
60-foot building. How longbmust it fall to reach a height of 28 feet?
In the formula h = –16t2 + v0t + h0, h0 is 60 and v0 is zero (because the object is dropped). The object reaches a height of 28 feet when h = 28.
Alfi Blog April 19, 2026 Admin Bandung IndonesiaExample
An object is dropped from the roof of a
60-foot building. How longbmust it fall to reach a height of 28 feet?
In the formula h = –16t2 + v0t + h0, h0 is 60 and v0 is zero (because the object is dropped). The object reaches a height of 28 feet when h = 28.
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 IndonesiaThe 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 IndonesiaNow 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 IndonesiaRevenue
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.
