4. A police officer is driving due north at a constant speed of 30 m/s relative to the groundwhen she sees a truck on an east-west high way ahead of her, driving east at high speed.The truck's speed relative to her car is 15 m/s. What is the truck's speed relative to theground?

Answered: Image /qna-images/answer/17aae2d1-5360-4266-9549-2fbcf03711be.jpg

Answered: 4. A police officer is driving due…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 58AP: A football receiver running straight downfield at 5.50 m/s is 10.0 m in front of the quarterback...

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A map suggests that Atlanta is 730 miles in a direction 5.00c north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0 west of north from Atlanta. Figure P3.18 shows the location of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. Figure P3.18
A ship sailing in the Gulf Stream is heading 25.0° west of north at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s 5.00° west of north. What is the velocity of the Gulf Stream? (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
A football receiver running straight downfield at 5.50 m/s is 10.0 m in front of the quarterback when a pass is thrown downfield at 25.0 above the horizon (Fig. P3.58). If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find (a) the footballs initial speed, (b) the amount of time the football spends in the air, and (c) the distance between the quarterback and the receiver when the catch is made. Figure P3.58
An airplane flying directly eastward at a constant speed travels 300 km in 2.0 h. (a) What is the average velocity of the plane? (b) What is its instantaneous velocity?
Unreasonable Results A commercial airplane has an air speed of 280 m/s due east and flies with a strong tailwind. It travels 3000 km in a direction 5° south of east in 1.50 h. (a) What was the velocity of the plane relative to the ground? (b) Calculate the magnitude and direction of the tailwind's velocity. (c) What is unreasonable about both of these velocities? (d) Which premise is unreasonable?
The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 north of west with a speed of 41.0 km/h. Three hours later the course of the hurricane suddenly shifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.50 h after it passes over the island?
Figure 2.14(b) shows a multiflash photograph of one ball dropped from rest and, at the same time, another ball projected horizontally from the same height. The two hit the floor at the same time. Explain.
A father demonstrates projectile motion to his children by placing a pea on his forks handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 8.25 m/s at an angle of 75.0 above the table. With what speed does the pea strike the ceiling 2.00 in above the table?
An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a trip to a city 750 km away to the north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 35.0 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 35.0 km/h to the east relative to the ground?
15. A ship bearing N 30-degrees W moves 3 hours at 17 miles per hour. It then turns 50 degrees starboard (to the right) to continue for 4 hours at 21 miles per hour. Finally the ship turns to a bearing of S 20-degrees E and travels for 1 hour at 12 miles per hour. Where is the ship's final location relative to its start?
2. A man walks westward on ship with a speed of 4 km/hr. The ship’s propeller drives it 15 km/hr south. What is the actual speed of the man relative to the earth? What is the direction of its velocity?
A “moving sidewalk” in an airport terminal moves at 1.0 m/s and is 35.0 m long. If a woman steps on at one end and walks at 1.5 m/s relative to the moving sidewalk, how much time does it take her to reach the opposite end if she walks (a) in the same direction the sidewalk is moving? (b) In the opposite direction?

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4. A police officer is driving due north at a constant speed of 30 m/s relative to the ground when she sees a truck on an east-west high way ahead of her, driving east at high speed. The truck's speed relative to her car is 15 m/s. What is the truck's speed relative to the ground?