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- please please help!!Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly. t1 = 11.6 secondsn2 = 12 times a. Calculate the angular speed described in Case 1, given as f1 = 78 revolutions per minute, into units of radians/second. b. How many revolutions does the turntable make while accelerating in Case 1? c. Calculate the magnitude of the angular acceleration of the turntable in Case 1, in radians/second2. d. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2). e. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?
- Dr. B takes her dog ada on a walk. they start out heading south for 0.75 miles. then they turn left 30 degrees and they continue to walk for another 11 mile. Finally they turn right 9o degrees and they walk 1.9 miles. The whole walk takes 45 minutes. What is the average speed of Dr.B and Ada on their walk? give your answer in m/s. What is the direction of the total displacement vector?Vector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.1. Let v = -51 + 53 be a vector in R². (a) Find v. (b) Find the angle, 0, in degrees, that v makes with the positive x-axis. (Answer in radians between 0 and 27.) (c) Find a unit vector that points in the same direction as v. Answer in component form.
- Vector M has an x-component of 8.5 km and a y-component of 16.0 km. What is the length of Vector M?For the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0 +2.0k, and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between A and B, and (d) A × (B+C).An airplane left an airport and flew 105 mi in the direction of N 50.4000 deg E, then turned and flew 493 mi in the direction of S 11.9000 deg E. How far (mi) and in what direction should it return to the the airport?