SOLUTION: A​ high-rise condominium building is 408408 feet high. Suppose that a ball is projected upward from the top and its position s in feet above the ground is given by the equati

Algebra.Com
Question 1118430: A​ high-rise condominium building is 408408 feet high. Suppose that a ball is projected upward from the top and its position s in feet above the ground is given by the equation s equals negative 16 t squared plus 80 t plus 408s=−16t2+80t+408​, where t is the number of seconds elapsed. How long will it take for the ball to reach a height of 460460 feet above the​ ground?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Please proofread your posts BEFORE sending. It is extremely rude of you to make the tutors have to decipher your nonsensical post because you were simply too lazy to correct your typos.

A​ high-rise condominium building is 408 feet high. Suppose that a ball is projected upward from the top and its position s in feet above the ground is given by the equation s = −16t^2 + 80t + 408​, where t is the number of seconds elapsed. How long will it take for the ball to reach a height of 460 feet above the​ ground?





Solve the quadratic for . Hint: Divide the entire equation by 4 (to make the arithmetic simpler) and then use the Quadratic Formula. Since the projectile will be at a height of 460 feet twice, once on the way up and once on the way down, you will have two real roots to this equation. The way the question is worded, it is safe to assume that the smaller value of is the desired answer.



John

My calculator said it, I believe it, that settles it


RELATED QUESTIONS

A ball is thrown upward from the top of a building 100 feet high with initial speed 20... (answered by TimothyLamb)
Suppose that a ball is projected upward from the top of the Mart Hotel in Dallas, Texas,... (answered by lwsshak3)
Lewis Tower in Philadelphia is 400 ft. high. Suppose that a ball is projected upward from (answered by ewatrrr)
a ball is thrown upward from the top of a 64-foot-high building. the ball is 96 feet... (answered by Boreal)
John's rubber ball bounces exactly half the height from which it is dropped. he drops the (answered by 303795)
A stone is projected vertically upward from a platform that is 15 feet high at a rate of... (answered by richwmiller)
Problem solving. Solve the word problem below and show your solution. A ball is... (answered by Edwin McCravy)
A building is 650 feet high. Suppose that a wire is attached to the top of the building... (answered by advanced_Learner)
A ball is projected directly upward from and initial height of 200 feet with an initial... (answered by jorel1380,ikleyn)