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Question
If a ball is thrown upward at 56 feet per second from a rooftop 32 feet above the ground, then its height above the ground t seconds after it is thrown is given by :h= -16t2+56t+32. Rewrite this formula with the polynomial on the right-hand side factored completely for finding the time which the ball to reach the ground.
Hello J
This is a factorization problem.
The polynomial is h= -16t2+56t+32
To simplify things and also to help you find the time at which the ball touches the ground, let’s make the left side of the polynomial 0
0 = -16t2+56t+32
Now cancel the common factor 8
0 = -2t2 + 7t + 4
Put this polynomial in the standard form;
0 = t2 – (7/2)t – 2 [multiply both sides of the equation by -0.5]
J, I hope you know the quadratic formula;
After manipulating the quadratic formula, you will get that the two roots are;
4 and -0.5
Therefore you can write the initial polynomial as;
(X-4)(X+0.5) = 0
Thankz
Michael
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Answers by Expert:
Michael Tadesse
Expertise
I can answer questions regarding Relations, linear functions and equations, Squares and square roots, Translation and Similarity, Special Properties of Right Angled Triangles, Measurement of Area and Volume, algebra. I can also answer questions related to Pre calculus, Limits and Continuity, Derivatives Applications of Derivatives, High school math in general. I can’t answer questions of the following type. Power Series, Multiple Integrals, Fourier series, Vector valued Functions.
Experience
I love mathematics as it is the mother of all sciences. I had an outstanding math results while I was in school. The tradition continues while I am in university. I have been helping elementary school Students for the past five years with mathematics problems. In fact, I have a brother who is four years younger than me I usually help him to understand what the crux of the question is before trying to solve it. He loves math very much, he is indeed one of the top scorers form his class in Mathematics. I didn’t stop helping my younger relatives after I joined the Engineering campus and I am more than ready to help anyone with my skill.
Education/Credentials
have a high school diploma with a 3.97 GPA; I also have many merit certificates granted for my outstanding results in high school math. I won a merit certificate for my participation in the Black Month Essay Contest. I took two different National Examinations in 2006 and 2007. In the former Exam I got 9As which includes Mathematics. I also have a score of 90 out of hundred in the later Examination which is the toughest known in Ethiopia. So you don’t have to worry about my ability to help my clients.
Past/Present Clients
I have never had an online client but I was helping students coming to me for assistance in Mathematics.
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