A boat is traveling upstream at 12 km/h with respect to the water of a river. The water is flowing at 7.0 km/h with respect to the ground. What are the (a) magnitude and (b) direction of the boat's velocity with respect to the ground? A child on the boat walks from front to rear at 6.0 km/h with respect to the boat. What are the (c) magnitude and (d) direction of the child's velocity with respect to the ground? (a) Number i (b) (c) Number (d) Units Units

A boat is traveling upstream at 12 km/h with respect to the water of a river. The water is flowing at 7.0 km/h with respect to the ground. What are the (a) magnitude and (b) direction of the boat's velocity with respect to the ground? A child on the boat walks from front to rear at 6.0 km/h with respect to the boat. What are the (c) magnitude and (d) direction of the child's velocity with respect to the ground? (a) Number i (b) (c) Number (d) Units Units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?
Rain-drops are falling vertically down at 3.0 m/s. You are walking towards north on a horizontal road at 2.0 m/s. What is the relative velocity of the rain-drops with respect to you? Please give the magnitude and direction both.
After flying for 20 min in a wind blowing 39 km/h at an angle of 22° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air?
Rain is falling steadily, but there is no wind. You are on a bus that moves at 35.0 km/hr, and you see that the rain appears to be falling at an angle of 42o with respect to the vertical. What is the vertical speed of the rain drops?
A cruise ship sails due north at 5.00 m/s while a coast guard patrol boat heads 24.0° north of west at 6.00 m/s. What are the x-component and y-component of the velocity of the cruise ship relative to the patrol boat? (Assume that the +x-axis is east and the +y-axis is north. Enter your answers in m/s.) HINT (a) x-component (b) y-component m/s m/s
Land west of the San Andreas fault in southern California is moving at an average velocity of about 6 cm/y northwest relative to land east of the fault. Los Angeles is west of the fault and may thus someday be at the same latitude as San Francisco, which is east of the fault. How far in the future will this occur if the displacement to be made is 590 km northwest, assuming the motion remains constant?
A boat that can travel at 2.50 m/s in still water is heading directly across a river that is flowing at a rate of 1.25 m/s, i.e., so that it will end up downstream. (a) What is the velocity of the boat as measured by a person standing on the shore? Give both the magnitude and the angle. (b) If the river is 175 m across, how long does it take the boat to cross the river and in this time how far down stream will the boat have traveled? (c) Provide a diagram of the situation.
A river flows due east. A boat travels with constant speed due north across the river from point A to point B. The speed of the boat relative to the water is 5 m/s. The river is 21m wide and it takes 7s to travel from A to B. What is the speed of the current in the river?
A ferry boat leaves the east bank of the Mississippi River with a compass bearing 300°. The ferry is traveling at 10 mph relative to the water. Given that velocity of the water current is 4 mph toward the south, a) Express the velocity of the water current in vector form, b) Find the true velocity of the ferry boat in vector form, c) Find the true speed of the boat.
Is this vector addition or subtraction? Then solve: An airplane flies with a velocity of 55.0m/s [35°N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0m/s [53°N of W], what was the wind velocity?
Suppose a ship heads directly north away from the docks in a harbor at a speed of 3.40 km/h. After traveling 1.10 km, the ship leaves the harbor encountering an ocean current moving due west at 3.00 km/h. Find the location of the ship (distance from the dock in km and direction in degrees counterclockwise from the east) 1.00 h after it leaves the dock if it does not change its direction relative to the ocean. distance from dock 4 km direction 308.9 x ° counterclockwise from east
An ant undergoes three successive displacements: ?⃗1=3.00 m,20.0 degrees south of east ?⃗2=2.00 m,north ?⃗3=7.00 m,35.0 degrees west of south a) Carefully sketch and label the three displacements with their tails at the origin. Use a coordinate system in which the positive x-axis is east and the positive y-axis is north. b) Calculate the x-and y-components of each of the displacements. c) Use the results of part b) to calculate the distance between where the ant begins and where it ends. d) What fourth displacement (magnitude and direction) is necessary to return the ant to its initial position?