63. ssm A circus performer begins his act by walking out along a nearly horizontal high wire. He slips and falls to the safety net, 25.0 ft below. The magnitude of his displacement from the beginning of the walk to the net is 26.7 ft. (a) How far out along the high wire did he walk? (b) Find the angle that his displacement vector makes below the horizontal.

The vector S is defined as a-b, the the magnitude of is S a. a² + b² + 2ab Cose Ob.a²+b²-2ab Cose √² +6² O C. O d. a² + b²-2a²b² Cose 2

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?   What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

A jogger travels a route that has two parts. The first is a displacement A of 2.65 km due south, and the second involves a displacement → B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units > > >

In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00 m on edge, a knight is moved in the following way: (1) two squares forward, one square rightward; (2) two squares leftward, one square forward; (3) two squares forward, one square leftward.What are (a) the magnitude and (b) the angle (relative to “forward”) of the knight’s overall displacement for the series of three moves?

Vectors A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure alongthe line of the resultant?

A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to city C in 1.10 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).

What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude and (c) an angle? Positive angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. À = (2.00 m )i + (3.00 m )} B = 4.00 m, at 65.0⁰ 7 = ( - 4.00 m D = 5.00 m, at -235⁰ ¹)ì – (6.00 m )Ĵ

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.

Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Units