A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 82.7 m north, makes a turn to the east and continues for d2 = 184.5 m, then follows a big grouper (a kind of fish) for d3 = 83.7 m in the direction θ = 42.2° north of east. Finally, she swims d4 = 185.1 m south. 1) What is the straight line distance between her initial and final positions in m? 2) Suppose she wants to swim back to her initial position in a straight line, in what direction should she swim? Express your answer as an angle in degrees north of west.

A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.

Vector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis.  Vector C points to the right.  You will be asked to find the resultant, R = A + B + C. What is the direction of the resultant?   Group of answer choices 60.9° below the x-axis 16.5° below the x-axis 73.5° below the x-axis 57.1° below the x-axis

m Let B = 5.05 m at 60.0°. C and A have equal magnitudes. The direction angle of Ĉ is larger than that of A by 25.0°. Let A · B = magnitude . . 29.1 m² and B C = 36.3 m². Find the magnitude (in m) and direction (in degrees) of A. direction

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.

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?

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 113 m at an angle 30.0° north of east, and finally moves 179 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W m N E o south of east 8 What is the resultant displacement from the entrance? magnitude direction Final position Q

1

Let B = 4.75 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that of A by 25.0°. Let A.B= 27.6 m? and B.č - 32.7 m?. Find the magnitude (in m) and direction (in degrees) of A. magnitude m direction

Ima Stomaksic is walking from lunch to her PE class. She exits the lunchroom and walks 43m west. She then turns and walks 72m north down the hallway leading to the locker room. Determine the magnitude and direction of Ima's resultant displacement, and the angle of the displacement.