1. A car travels due east with a speed of 54.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 40.0° with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.) a)the car _____ km/h b)the earth _____ km/h 2. Suppose a boat moves at 19.0 m/s relative to the water. If the boat is in a river with the current directed east at 3.30 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (Enter your answers in m/s.) a) east withh the current _____ m/s b) west against the current ______ m/s 3. A cruise ship sails due north at 5.50 m/s while a coast guard patrol boat heads 39.0° north of east at 5.60 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.) a) x-component ______ m/s b) y-component _______ m/s

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)...
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1. A car travels due east with a speed of 54.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 40.0° with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.)

a)the car _____ km/h

b)the earth _____ km/h

2. Suppose a boat moves at 19.0 m/s relative to the water. If the boat is in a river with the current directed east at 3.30 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (Enter your answers in m/s.)

a) east withh the current _____ m/s

b) west against the current ______ m/s

3. A cruise ship sails due north at 5.50 m/s while a coast guard patrol boat heads 39.0° north of east at 5.60 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.)

a) x-component ______ m/s

b) y-component _______ m/s

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