How will the velocity change when the acceleration is perpendicular to it? None of the magnitude and direction will change. The magnitude of velocity will change and the direction will not. The direction of velocity will change and the magnitude will not. Both the magnitude and direction will change.

How will the velocity change when the acceleration is perpendicular to it? None of the magnitude and direction will change. The magnitude of velocity will change and the direction will not. The direction of velocity will change and the magnitude will not. Both the magnitude and direction will change.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 62PE: The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an...

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KEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. a. _____ Zero acceleration in free fall
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.)
The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.20 m/s in a direction 30.0° east of north relative to the Earth. It encounters a wind that has a velocity of 4.50 m/s in a direction of 50.0° south of west relative to the Earth. What is the velocity of the wind relative to the water?
KEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. r. _____ Displacement/travel time
A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.
A golfer tees off from a location precisely at i = 35.0 north latitude. He hits the ball due south, with range 285 m. The balls initial velocity is at 48.0 above the horizontal. Suppose air resistance is negligible for the golf ball. (a) For how long is the ball in flight? The cup is due south of the golfers location, and the golfer would have a hole-in-one if the Earth were not rotating. The Earths rotation makes the tee move in a circle of radius RE cos i = (6.37 106 m) cos 35.0 as shown in Figure P6.47. The tee completes one revolution each day. (b) Find the eastward speed of the tee relative to the stars. The hole is also moving cast, but it is 285 m farther south and thus at a slightly lower latitude f. Because the hole moves in a slightly larger circle, its speed must he greater than that of the tee. (c) By how much does the holes speed exceed that of the tee? During the time interval the ball is in flight, it moves upward and downward as well as southward with the projectile motion you studied in Chapter 4, but it also moves eastward with the speed you found in part (b). The hole moves to the east at a faster speed, however, pulling ahead of the ball with the relative speed you found in part (c). (d) How far to the west of the hole does the ball land? Figure P6.47
A ferry transports tourists between three islands. It sails from the first island to the second island, 4.76 km away, in a direction 37.0 north of east. It then sails from the second island to the third island in a direction 69.0 west of north. Finally it returns to the first island, sailing in a direction 28.0 east of south. Calculate the distance between (a) the second and third islands and (b) the first and third islands.
A car travels due east with a speed of 50.0 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 60.0 with the vertical. Find the velocity of the rain with respect to (a) the car and (b) the Earth.
A roller coaster moves 2.00 102 ft horizontally and then rises 135 ft at an angle of 30.0 above the horizontal. Next, it travels 135 ft at an angle of 40.0 below the horizontal. Use graphical techniques to find the roller coasters displacement from its starting point to the end of this movement.
Give an example of a trajectory in two or three dimensions caused by independent perpendicular motions.
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 catapult launches a rocket at an angle of 53.0 above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a burn, and for 3.00 s the rocket moves along its initial line of motion with an acceleration of 30.0 m/s2. Then its engine fails, and the rocket proceeds to move in free fall. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.