O RATIONAL EXPRESSIONS 1/5 Solving a distance, rate, time problem using a rational equation A cyclist traveled 11 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 18 kilometers, the skater had gone 9 kilometers. Find the speed of the skater. Speed of the skater: kilometers/hour X ?

O RATIONAL EXPRESSIONS 1/5 Solving a distance, rate, time problem using a rational equation A cyclist traveled 11 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 18 kilometers, the skater had gone 9 kilometers. Find the speed of the skater. Speed of the skater: kilometers/hour X ?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...

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A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
The layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig. P3.8). A cat leaves her house and travels to Mike Mulligans place 4 blocks west and 3 blocks north of its starting point. After lapping up the milk that Mike always leaves out, the cat travels an additional 1 block north and 3 blocks east to Mrs. McGillicuttys house. a. On your paper, carefully copy the grid of streets that contains the cats house, Mike Mulligans house, and Mrs. McGillicuttys house. Then draw and label three displacement vectors on your sketch: r1, the cats displacement from her house to Mike Mulligans; r2, the cats displacement from Mike Mulligans to Mrs. McGillicuttys; and rtot, the cats total displacement. b. Write an equation to relate the three displacement vectors you have drawn. c. Is the distance the cat traveled greater than, less than, or equal to the magnitude of the cats total displacement vector? Explain. FIGURE P3.8
(a) A car speedometer has a 5% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per how. Note 1 km = 0.6214 mi.
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
Convert the given lengths from the derived units to meters 257Mm= ?? m I do want to note that the answer for 0.257 told me i was incorrect so I am surely missing something
Give an order-of-magnitude estimate for the length in metersof the following: (a) a person; (b) a fly; (c) a car; (d) a 747 airplane;(e) an interstate freeway stretching coast-to-coast
Consider the equation s = s0 + v0t + a0t2/2 + j0t3/6 + S0t4/24 + c0t5/120 , where s is length, and t is time. What are the SI units of (a) s0, (b) v0, (c) a0, (d) j0, (e) S0, and (f) c0? The answers are case sensitive. If you want to insert superscript use the notation "^". For example "m/s^2" means meters per second squared.
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Assume your hair grows at a rate of 1/44th of an inch per day. How fast is that in nm/s (nanometers per second)? Given that a typical atom is on the order of 1 x 10^(-10) m in diameter (see Table 1.3 on page 18 of the textbook), at approximately what rate does the protein synthesis that assembles your hair strands deposit atoms in units of atoms per second? I need the second question to be rounded to 1 significant digit.
Monarch butterflies belong to one of the most beautiful species of animals. To protect themselves from the cold in Canada and the United States, they fly to Mexico and the countries of Central America in the fall. If they travel an approximate distance of 3,960 km during 60 days, a) what is the speed of the butterflies in m / s b) in km / hr