The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s: D ( s ) = 1 10 s 2 − 3 s + 22 for s ≥ 50 where s is in feet per second. a. Find the landing distance for a plane traveling 150 ft/sec at touchdown. b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s: D ( s ) = 1 10 s 2 − 3 s + 22 for s ≥ 50 where s is in feet per second. a. Find the landing distance for a plane traveling 150 ft/sec at touchdown. b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
Solution Summary: The author explains how to calculate the landing distance for a plane travelling 150 ft/sec.
The landing distance that a certain plane will travel on a runway is determined by the initial landing speed at the instant the plane touches down. The function D relates landing distance in feet to initial landing speed s:
D
(
s
)
=
1
10
s
2
−
3
s
+
22
for
s
≥
50
where s is in feet per second.
a. Find the landing distance for a plane traveling 150 ft/sec at touchdown.
b. If the landing speed is too fast, the pilot may run out of runway. If the speed is too slow, the plane may stall. Find the maximum initial landing speed of a plane for a runway that is 1000 ft long. Round to one decimal place.
Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an
account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the
nearest dollar.
r
nt
Use the compound interest formula, A (t) = P(1 + 1)".
An account is opened with an intial deposit of $7,500 and earns 3.8% interest compounded semi-
annually. Round all answers to the nearest dollar.
a. What will the account be worth in 10 years? $
b. What if the interest were compounding monthly? $
c. What if the interest were compounded daily (assume 365 days in a year)? $
Kyoko has $10,000 that she wants to invest. Her bank has several accounts to choose from. Her goal is
to have $15,000 by the time she finishes graduate school in 7 years. To the nearest hundredth of a
percent, what should her minimum annual interest rate be in order to reach her goal assuming they
compound daily? (Hint: solve the compound interest formula for the intrerest rate. Also, assume there
are 365 days in a year)
%
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY