speed passe puck na a speed of 9.02 m/s and is moving in a direction of 28.8° west of south, relative to the ice. What are (a) the magnitude and (b) direction (relative to due south) of the puck's velocity, as observed by Mario?
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- As a projectile moves in its parabolic path, where are the velocity and acceleration vectors perpendicular to each other? (a) Everywhere along the projectile’s path, (b) at the peak of its path, (c) nowhere along its path, or (d) not enough information is given.A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.5 m/s due north relative to the ferry, and 4.5 m/s at an angle of 30 degrees west of north relative to the water, what are the magnitude and direction of the ferry's velocity relative to the water?A student drives 10 km to the north and then 20 km 30 degrees S of E. By using the component method, what are the magnitude and direction of his displacement from the starting point?
- A rugby player runs with the ball directly toward his opponent’s goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball’s velocity relative to the field does not have a positive x component. Suppose the player runs at speed 4.0 m/s relative to the field while he passes the ball with velocity relative to himself. If has magnitude 6.0 m/s, what is the smallest angle it can have for the pass to be legal?Calculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km 60* NE.2) An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north. Finally, it returns to its starting point by travelling a distance of 525 km. How far did the airplane travelled due north?what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C= 15i - 10j
- A football player runs for a distance d1 = 7.17 m in 1.08 s, at an angle of θ = 41 degrees to the 50-yard line, then turns left and runs a distance d2 = 10.66 m in 1.62 s, in a direction perpendicular to the 50-yard line. The diagram shows these two displacements relative to an x-y coordinate system, where the x axis is parallel to the 50-yard line, and the y axis is perpendicular to the 50-yard line.What is the magnitude of the total displacement, in meters? What angle, in degrees, does the displacement make with the y axis? (Note that the angle θ was given as measured from the x axis rather than the y axis.) What is the magnitude of the average velocity, in m/s? What angle, in degrees does the average velocity make with the y axis? (Note that the angle θ was given as measured from the x axis rather than the y axis.)In the figure, a ball is launched with a velocity of magnitude 6.00 m/s, at an angle of 44.0° to the horizontal. The launch point is at the base of a ramp of horizontal length d1 = 6.00 m and height d2 = 3.60 m. A plateau is located at the top of the ramp. (a) Does the ball land on the ramp or the plateau? When it lands, what are the (b) magnitude and (c) angle of its displacement from the launch point?A student drives 10 km to the north and then 20 km 30 degrees South of the east. By using the component method, what are the magnitude and direction of his displacement from the starting point?
- Jonah is walking along a trail. The trail heads east for 1350 meters, before turning north and continuing for 990 meters. At the end of the trail, what is Jonah's displacement vector? Options: 1670 m, 36.3∘36.3∘ north of east 1670 m, 36.3∘ east of north 2340 m, 31.0∘ east of north 2340 m, 31.0∘ north of east19.An escaped convict name Baby Ama runs 1.70 km due east of the prison. He then runs 1.83 km due north to his friend Nardong Putik's house. What is the magnitude and direction of Baby Ama's total displacement vector? choices: 2.50 km, 47° north of east 2.50 km, 43° north of east 1.88 km, 47° east of north 1.88 km, 47° east of northVector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is 1.90 cm long and is 60.0 degrees below the x-axis in the fourth quadrant. What is the magnitude of B-A?