The speed of a boat in still water is v. The boat is tomake a round trip in a river whose current travels atspeed uDerive a formula for the time needed to make a round trip of total distance D if the boat makes the round trip by movingupstream and back downstream.Express your answer in terms of the variables D, v, and u.t =ΜΕ ΑΣΦSubmitRequest Answer?Part BDerive a formula for the time needed to make a round trip of total distance D if the boat makes the round trip by movingdirectly across the river and back.Express your answer in terms of the variables D, v, and u.t =ΜΕ ΑΣΦ?

Step 1:Given:The speed of the boat in still water: vThe speed of the current with respect to the…

Answered: The speed of a boat in still water is…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 75AP: Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two...

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A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
(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.
between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .
Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37 north of east to Noi. From Noi, it sails 69 west of north to Poi. On its return leg from Poi, it sails 28 east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometei. Note: 1 nmi = 1852m.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Suppose you walk 16 m straight west and then 23 m straight north as shown inthe figure. How far are you from your starting point in meters? What is the angle of displacement measured west of north in degrees?
Formulas: O Speed = distance / time a Velocify = displacement / time plus a given direction %3D 6. What is the velocity of a rocket that goes 700 kilometers north in 25 seconds? d= 700 km +=25 seconds V=? VE dxt V= 7. How much fime does it fake a person to walk 8 kilometers east at a Velocity of 4 kilometers per hour? 8. A motorcycle travels 300 miles south in 3 hour. Ala at is the đverade velocity?
A car's velocity is at 100 km/h going North [N] for 1.0 hour. The car continues to move for another 2.0 hours at 82 km/h South [S). Determine the car's: A trekker walks 5.0 km North [N] and then 8.0 km South [S] for 3.0 hours. Let's Appraise 1. Determine the trekker's: Average velocity а. b. Average speed 2. Total displacement a. b. Moving average velocity C. Total distance covered d. Moving average speed Plot a graph using the values given in the table of distance and time 3. Determine the moving average velocity during the first 5.0 seconds. а. t(s) d(m) 0.5 0.5 Determine the moving average velocity during the time interval of 2.0 to 13.0 seconds. b. 1.0 1.2 1.5 2.0 2.0 3.0 Determine the time if the 2.5 4.1 С. velocity is zero, 3.0 5.3 3.5 6.9 d. Determine the velocity for each given time: 4.0 8.7 4.5 10.7 i. 3.0 s 5.0 13.0 5.5 15.0 ii. 6.5 s 6.0 16.1 iii. 11.0 s 6.5 16.9 7.0 17.3 7.5 17.8 8.0 17.9 8.5 18.0 9.0 18.0 17.8 17.6 9.5 10.0 10.5 17.2 11.0 16.8 11.5 16.3 15.7 14.9 12.0 12.5…
A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h. a. Has the driver traveled far enough to reach the office? Support your response. b. Assume the driver has gone far enough and is traveling on the correct road. If he has not yet seen the business, what should he do to make the delivery? Explain your reasoning. Plzzz help
Let's say you ride your bike from your house to your friend's house. To get there uou have to go 4.00 miles south, 8.00 miles west, then 6.00 miles north. This trip takes 32.5 minutes.a. What is your average speed for the trip in miles per minute? b. What is your average velocity for the trip in miles per minute?

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