A boat heads in the direction N 74° E. The speed of the boat relative to the water is 20 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) mi/h mi/h water boat

A boat heads in the direction N 74° E. The speed of the boat relative to the water is 20 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) mi/h mi/h water boat

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 14OQ: A vector points from the origin into the second quadrant of the xy plane. What can you conclude...

See similar textbooks

Similar questions

Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.
Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
What is the y component of the vector shown in Figure OQ1.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers Figure OQ1.9 Objective Questions 9 and 10.
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
What is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
What is the x component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers