Two trains leave a station at t 0 and travel with constant velocity v along straight tracks that make an angle (a) Show that the trains are separating from each other at a rate v 2 2 cos (b) What does this formula give for ...

Choose a coordinate system such that The origin is the poin ...

Two trains leave a station at t = 0 and travel with constant velocity v along straight

Question:

Two trains leave a station at t = 0 and travel with constant velocity v along straight tracks that make an angle θ.
(a) Show that the trains are separating from each other at a rate v √2 − 2 cos θ.
(b) What does this formula give for θ = π?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Nov 11, 2023 08:24 AM

See More Questions

A solid sphere of mass M and radius R rotates freely in space with an angular velocity w about a fixed diameter. A particle of mass m, initially at one pole, moves with a constant velocity v along a...
John Turner had been working as the finance director for the City of Detroit for more than five years, John was an excellent employee and represented the city well in all his financial and...
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
The electric fields at point P due to the positive charges q 1 and q 2 are shown in Fig. Q21.22. Does the fact that they cross each other violate the statement in Section 21.6 that electric field...
Jessica Kimble and Carlos Segura form a partnership by combining assets of their former businesses. The following balance sheet information is provided by Kimble, sole proprietorship: Kimble obtained...
How does endogenous growth theory explain persistent growth without the assumption of exogenous technological progress? How does this differ from the Solow model?
Rolf owns 20% of Chaminade Corporation. During the current year, Chaminade reports operating income of $240,000 and pays $60,000 in cash dividends.
An artificial kidney is a device that removes water and waste metabolites from blood. In one such device, the hollow fiber hemodialyzer, blood flows from an artery through the insides of a bundle of...
In the context of IFRS 5: What conditions must be met for an asset to be classified as held for sale What are the disclosure requirements for assets held for sale? Explain what is meant by a...
On January 1, 2019, Concord Corp. signs a contract to lease nonspecialized manufacturing equipment from Stone Inc. Concord agrees to make lease payments of $47,500 per year. Additional information...
Use the Chain Rule to find the derivative. y =cot 9 + 1
Find the points on the graph of y 2 = x 3 3x + 1 (Figure 5) where the tangent line is horizontal. (a) First show that 2yy'= 3x 2 3, where y'= dy/dx. (b) Do not solve for y'. Rather, set y'= 0 and...
Derive the equation for the exit concentration of the solute as function of time for a packed bed system assuming n tanks in series when the solute is injected in the feed at time = 0 (the adsorption...
Part 3 of 4 Points: 0.49 of 1 Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X)...
Encouraging you to sit back and watch a full hour of one of your favorite shows on prime-time television. However, instead of getting up during the commercial break or fast forwarding through the...
A family member has been recently diagnosed with a heart condition that requires replacing a heart valve. She points out that if she goes to India, the surgery cost is about 60% cheaper on average...
Based on the case of Bowers Machine Parts. Critically analyze why people were not doing their best and critically explain why hiring a consultant might solve the issue. Justify your answer by using...
Identify a few strategies for sustainability effectiveness. Should sustainability be a corporation's top priority? Why or why not? What are the challenges associated with implementing sustainable...
a. What do you think the long-run experimental probability will be? b. Make a graph of the cumulative ratio of 3's versus the number of tosses. Plot the points (cumulative number of tosses,...
A random sample of 10 houses heated with natural gas in a particular area, is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting...
Two offspring from the cross between a BB plant and a Bb plant are crossed with each other. Consider a dominant gene where plants with genotype BB or Bb are tall, while plants with genotype bb are...
Two tall offspring from the cross between a Bb plant and a Bb plant are crossed with each other. Consider a dominant gene where plants with genotype BB or Bb are tall, while plants with genotype bb...
A popular probability problem refers to a once popular game show called "Let's Make a Deal." In this game, the host (named Monty Hall) hands out large prizes to contestants for no reason at all. In...
Alphabet Company, which uses the periodic inventory method, purchases different letters for resale. Alphabet had no beginning inventory. It purchased A thru G in January at $7.50 per letter. In...
what is the maximum number of custom fields you can add to sales form in QB online?
3. Write down the names of items which are not eligible for claiming input tax credit by makingreference to the provisions of the VAT & SD Act, 2012.

Two trains leave a station at t = 0 and travel with constant velocity v along straight

Question:

Step by Step Answer:

Choose a coordinate system such that The origin is the poin...View the full answer

Calculus

Students also viewed these Mathematics questions