A satellite is launched with an initial velocity $v_0=4000 \mathrm{~km} / \mathrm{h}$ parallel to the surface of the earth. Determine the required altitude (or range of altitudes) above the earth's surface for launching if the free-flight trajectory is to be (a) circular, (b) parabolic, $(c)$ elliptical, and (d) hyperbolic.

Many companies have a form of debt called capital leases. A capital lease is created when a company agrees to rent an asset, such as equipment or a building, for such a long time that GAAP treats this lease as if the asset was purchased using borrowed funds. A capital lease creates a liability for the company that acquired the leased asset because it has promised to make payments to another company for several years in the future. If a company has any capital leases, it must disclose them in the notes to the financial statements and will sometimes disclose them in a separate account in the liabilities section of the balance sheet.

Using the most current Forms 10-K for Union Pacific Corporation, complete the requirement below. To obtain the 10-K you can either use the EDGAR system or they can be found on the company's website.

Required

What was Union Pacific's debt-to-asset ratio?

Flight 202's arrival time is normally distributed with a mean arrival time of 4: 30 p.m. and a standard deviation of 15 minutes. Determine the probability that a randomly chosen arrival time is within the given time period. After 4: 45 p.m.

The initial angle of projectile A is $30^{\circ}$, while that of projectile $\mathrm{B}$ is $60^{\circ}$. Both have the same level horizontal range. How do the initial velocities and flight times (elapsed time from launch until landing) compare for $\mathrm{A}$ and $\mathrm{B}$ ?

Suppose that photons of blue light (430 nm) are used to locate the position of a 2.80-g Ping Pong ball in flight and that the uncertainty in the position is equal to one wavelength. What is the minimum uncertainty in the speed of the Ping-Pong ball? Comment on the magnitude of your result.

In the following exercise, do the following.

Determine the time the projectile is in flight and the horizontal distance covered.

Tyler McGinnis is playing golf. He hits a golf ball from the ground at an angle of $60^{\circ}$ with respect to the ground at a velocity of 150 feet per second.

Airplane flight plan An airplane flying at a speed of $400 \mathrm{mi} / \mathrm{hr}$ flies from a point $A$ in the direction $153^{\circ}$ for $1$ hour and then flies in the direction $63^{\circ}$ for $1$ hour.

How long will it take to get back to point $A$ ?

The Neal Company wants to estimate next year’s return on equity (ROE) under different financial leverage ratios. Neal’s total capital is $14 million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure, and its federal-plus-state tax rate is 40%. The CFO has estimated next year’s EBIT for three possible states of the world:$4.2 million with a 0.2 probability, $2.8 million with a 0.5 probability, and$700,000 with a 0.3 probability. Calculate Neal’s expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios; then evaluate the results: $$ \begin{matrix} \text{Debt/Capital Ratio} & \text{Interest Rate}\\ \text{0\\%} & \text{--}\\ \text{10} & \text{9\\%}\\ \text{50} & \text{11}\\ \text{60} & \text{14}\\ \end{matrix} $$

The following condensed balance sheet is presented for the partnership of Der, Egan, and Oprins, who share profits and losses in the ratio of 4:3:3, respectively.

$$\begin{array}{lrlr} \text{Cash} & \$\hspace{5pt}40,000 & \text{Accounts Payable} & \$150,000\\ \text{Other Assets} & \text{710,000} & \text{Der, Capital} & \text{260,000}\\ && \text{Egan, Capital} & \text{180,000}\\ && \text{Oprins, Capital} & \text{160,000}\\ \hline \text{Total Assets} & \underline{\underline{\$750,000}} & \text{Total Liabilities \& Equity} & \underline{\underline{\$750,000}}\\ \end{array}$$

Assume that the partnership decides to admit Snider as a new partner with a 25 percent interest.

Required

Determine the amount that Snider must contribute in cash or other assets for the case below.

• The partners agree that total resulting capital should be $820,000 and no goodwill should be recognized.

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is $.02$. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.

Airplane flight An airplane flying at a speed of $360 \mathrm{mi} / \mathrm{hr}$ flies from a point $A$ in the direction $137^{\circ}$ for $30$ minutes and then flies in the direction $227^{\circ}$ for $45$ minutes. Approximate, to the nearest mile, the distance from the airplane to $A$.

A plane descends to sea level from $12,000 \mathrm{ft}$ after being airborne for $1 \frac{1}{2} \mathrm{hr}$. The entire flight time is $2 \mathrm{hr} 10 \mathrm{~min}$. Find the average rate of descent of the plane.

From the list at the top of the next page, identify the accounts that should be closed to Income Summary at the end of the fiscal year: e. Fauzi Hanna, Capital

On a recent flight between St. Louis and Los Angeles, one-fourth of the tickets sold were for seats in business class, one-tenth in first class, and the remaining 195 tickets were in coach class. How many tickets were sold altogether?