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- As she picks up her riders, a bus driver traverses four successive displacements represented by the expression (6.30 b)i (4.00 b cos 40)i (4.00 b sin 40)j + (3.00 b cos 50)i (3.00 b sin 50)j (5.00 b)j Here b represents one city block, a convenient unit of distance of uniform size; i is east; and j is north. The displacements at 40 and 50 represent travel on roadways in the city that are at these angles to the main east-west and north-south streets, (a) Draw a map of the successive displacements, (b) What total distance did she travel? (c) Compute the magnitude and direction of her total displacement. The logical structure of this problem and of several problems in later chapters was suggested by Alan Van Heuvelen and David Maloney, American Journal of Physics 67(3) 252-256, March 1999.A particle is moving along a curved path. At a certain instant when the slope is 0.75, ax = 2 m/s2 and ay = 3 m/s2. Find the value of an. the final answer must be 3 decimal places.A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she from the starting point? What are the magnitude and direction of her resultant displacement? (Complete solution)
- A sailor in a small sailboat encounters shifting winds. She sails 8.00 km south, then 15 km 30deg E of N, and then 12km 25deg N of W. Use polygon method to determine magnitude and direction of her resultant displacement.A train at a constant 60.0 km/h moves east for 40.0 min, then in a direction 50.0° east of due north for 20.0 min, and then west for 50.0 min.What are the (a) magnitude and (b) angle of its average velocity during this trip?A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north as shown in Fig- ure 3.11a. Find the magnitude and direction of the car’s resultant displacement.
- The pilot of an aircraft flies due north relative to the ground in a wind blowing 80 km/h toward the east. If his speed relative to the air is 410 km/h, what is the magnitude of the velocity of his airplane relative to the ground? State the answer to the nearest tenth of the km/h.8. On a baseball field, first base is about 30 m away from the home plate, and the second base is 30 m away from the first base. A batter gets a hit and makes it to the second base. What is the magnitude of his final displacement from the home plate? Round off to the nearest whole number. Group of answer choices 42 m 32 m No answer 62 m 0mWhat is the magnitude of the resultant of the following: d1=55 m, east; d2=25 m, north? a. 8.94 m b. 40 m c. 60.42 m d. 80 m
- A rocket follows a path givent by y=x-1/40 x^3(in miles). The horizontal velocity is given by Vx=x, find the Magnitude and the Direction of the velocity when the rocket hits the ground (assuming level terrain) if time is in minutes. The magnitude is approximately ? miles per minute (rounded the final answer to one decimal point. Round all intermediate values to two decimal places as needed. The direction of the velocity is in degrees.A train at a constant 65.0 km/h moves east for 30.0 min, then in a direction 50.0° east of due north for 30.0 min, and then west for 40.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip?Mayan kings and many school sports teams are named or the puma, cougar, or mountain lion—Felis concolor— the best jumper among animals. It can jump to a height of 12.0 ft when leaving the ground at an angle of 45.0 degrees . With what speed, in SI units, does it leave the ground to makethis leap? Answer : 12.0 m/s
