hfelltennis
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

To determine the appropriate landing speed of an airplane, the formula D = .1x 2 − 3x + 22 is used, where x is the initial landing speed in feet per second and D is the distance needed in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. What is the appropriate landing speed if the runway is 800 feet long? Show all of your work or explain how you came up with your solution

Sagot :

konrad509
[tex]800=0.1x^2-3x+22\\ 0.1x^2-3x-778=0\\ \Delta=(-3)^2-4\cdot0.1\cdot(-778)=9+3112=3121\\ \sqrt{\Delta}=\sqrt{3121}\\ x_1=\dfrac{-(-3)-\sqrt{3121}}{2\cdot0.1}=\dfrac{3-\sqrt{3121}}{0.2}=15-5\sqrt{3121}\approx-264.3\\ x_2=\dfrac{-(-3)+\sqrt{3121}}{2\cdot0.1}=\dfrac{3+\sqrt{3121}}{0.2}=15+5\sqrt{3121}\approx294.3[/tex]

Approx. 294.3 ft/s
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.