26. I A river flows due east at 20 mi/h. A boater attempting to cross the river heads N 30° E at 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the boat as a vector in component form. (c) Find the true velocity of the boat (as a vector in component form). (d) Find the true speed and direction of the boat. Express the direction as a heading. 26. II A migrating salmon heads in the direction N 60° E, swimming at 6 mi/h relative to the water. The prevailing ocean currents flow due south at 2 mi/h. Find the true velocity of the fish as a vector. Find the true speed of the fish.

26. I A river flows due east at 20 mi/h. A boater attempting to cross the river heads N 30° E at 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the boat as a vector in component form. (c) Find the true velocity of the boat (as a vector in component form). (d) Find the true speed and direction of the boat. Express the direction as a heading. 26. II A migrating salmon heads in the direction N 60° E, swimming at 6 mi/h relative to the water. The prevailing ocean currents flow due south at 2 mi/h. Find the true velocity of the fish as a vector. Find the true speed of the fish.

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 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...

See similar textbooks

Similar questions

A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.
Vector F is proportional to vector A such that F=mA and m is a scalar. a. If A=2.4+3.0j and F=4.0+5.0j, what is m? b. Why is it impossible to have A=2.4+3.0j and F=4.0+0.50j, given the relationship between the two vectors?
A ship is traveling at 32 km/h in the South Atlantic, 30 degrees N of W, when it meets a wind with an average speed of 17 km/h moving in the direction of 20 degrees E. A ship passenger wishes to ascertain the ship's resulting velocity. Assist him by solving for the vector resultant using the component technique and filling in the spaces below.
On a winter morning a mailman drives 3.50 due east of the post office to deliver an express package to the school. He then walks due south to a coffee shop to meet a friend. If the magnitude of the mailman’s total displacement vector at the coffee shop with respect to the post office is 5.0km, A) how far south the mailman walked? B) what is the direction and angle of his total displacement vector while at the coffee store with respect to the post office?
Vector A has components ax= -3.0 m/s^2 and ay= +4.0 m/s^2 a. What is the magnitude and direction of vector A? b. What is the direction of vector A? Give an angle with respect to one of the coordinate axes
Consider the two vectors, A = 17.5x + 10.5y B = 3.1x - 3.5y a)What is the magnitude of the vector A - B? b)What is the angle of the vector A - B, measured counterclockwise in degrees from the positive x-axis? c)What is the magnitude of the vector 3A + B? d)What is the angle of the vector 3A+B, measured counterclockwise in degrees from the positive x-axis?
a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0 m and points 30° east of north. What is the magnitude of the sum, A +B? b.) What is the direction of the sum A +B, measured counterclockwise from east?
the x and y components of a vector in a horizontal plane are 4.00 m and 3.00 m, repectively. (a) what is the maginitude of this vector? (b) what angle does this vector make with the positive y axis?
A watermelon seed has the following coordinates: x=-5.0 m, y = 8.0 m, and z = 0 m. Find its position vector (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the x axis. (d) Sketch the vector on a right-handed coordinate system. If the seed is moved to the xyz coordinates (3.00 m, 0 m, 0 m), what is its displacement (e) in unit-vector notation and as (f) a magnitude and (g) an angle relative to the positive x direction?
A student bikes to school by traveling first dN = 1.10 miles north, then dW = 0.300 miles west, and finally dS = 0.200 miles south. Similarly, let dW be the displacement vector corresponding to the second leg of the student's trip. Express dW in component form.
You are given a vector A = 190i and an unknown vector B that is perpendicular to A. The cross-product of these two vectors is A × B = 81k. a. What is the x-component of the vector B? b. What is the y-component of the vector B? c. What can you say about the z-component of vector B?
9) Consider vector A = (7, 5) and vector B = (−3, −4). a) What is the direction and magnitude of vector A? b) What is the direction and magnitude of vector B? c) What is the direction and magnitude of vector C = A + B?