It’s a parabola
asked Apr 10 in Algebra 1 Answers by Patrick

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

I guess you mean -16t²+128t for the height. We can write this as -16(t²-8t). We can complete the square: -16(t²-8t+16-16) = -16(t-4)²+256. When t=4 this expression for the height is maximum at 256 feet, because there is nothing to subtract from 256. This means that maximum height is reached at 4 seconds.

This the vertex of the parabola and is halfway on the trajectory, so at t=8, h=0, when it reaches the ground. You can also see this from the original equation h=-16t²+128t=16t(-t+8) when t=8, h=0. Of course, when t=0, h=0 at the start of the trajectory.

answered Apr 10 by Rod Top Rated User (588,020 points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,750 questions
86,043 answers
2,210 comments
69,515 users