A train at a constant 56.0 km/h moves east for 39.0 min, then in a direction 46.0° east of due north for 29.0 min, and then west for 49.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip? (a) Number Units (b) Number Units
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Q: 3 km due south.
A: The situation is represented as:
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- A plane flies 483 km east from city A to city B in 45.0 min and then 966 km south from city B to city C in 1.50 h. For the total trip, what are the (a) magnitude and (b) direction of the plane’s displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed?Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?A bus driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min.For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude _____m direction ° south of west (b) average speed (in m/s) _____ m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude _____m/s direction ° south of west
- An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Given x-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE 35.355 m 35.355 m B = 180 m 72o NW -55.623 m 171.190 m C = 150 m S 0 m -150 m Resultant What is the resultant of both x-component and y-component.A cab driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction.(a)total vector displacement (Enter the magnitude in m and the direction in degrees south of west.)A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and finally turns around again and travels 2.84 miles due east. The magnitude and direction of the man's displacement is
- A runaway cat walks 0.75 km due north. It runs due west to a hotdog stand. If the magnitude of the cat's total displacement is 1.0 km, what is the magnitude of the cat's displacement vector in the west direction? A. 0.28 km B. 0.34 km C. 0.42 km D. 0.66 kmA cab driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 2.80 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.80-min trip, calculate the following. Assume +x is in the eastward direction.(a)total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) (b)average speed (in m/s) (c)average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C= 15i - 10j
- A chauffeur heads south with a steady speed of v1 = 24.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 2.60 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 6.60-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) magnitude mdirection ° south of west (b) average speed (in m/s) m/s (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude m/sdirection ° south of westA cheetah runs 1.50 km due east of the tree. He then runs 2.0 km due north. What is the magnitude and direction of cheetah’s resultant displacement vector? a. 6.25 km, 53.13 deg East of North b. 2.5 km, 53.13 deg North of East c. 2.5 km, 53.13 deg East of North d. 6.25 km, 53.13 deg North of EastA plane flies 488 km east from city A to city B in 41.0 min and then 883 km south from city B to city C in 1.20 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).