A woman walks 171 m in the direction 32⁰ east of north, then 161 m directly east. Find (a) the magnitude and (b) the angle (from due east) of her final displacement from the starting point. (c) Find the distance she walks.

A jogger travels a route that has two parts. The first is a displacement A of 2.30 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 (b) Number (c) Number (d) Number Mi i Mi Units Units Units Units <

one day you go hiking at a nearby nature preserve. at first, you follow the straight, clearly marked trails. from your starting point, you travel 2.00 miles down the 1st trail. then you turn to your left by 30.0 degrees to follow a 2nd trail for 1.40 miles. next, you turn to your right by 160 degrees and follow a third trail for 1.90 miles. at this point you are getting very tired and would like to go back.   you would like to take a shortcut directly through the woods. how far to your right should you turn, and how far do you have to walk, to go directly back to the darting point.       what degree turn to the right must "I" take, and how many miles must I walk back?       I know the distance is 2.104 miles, but I cannot figure out the degree angle.

one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?

A vector 'A' has components Ax = −6.00 m and Ay = 6.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units Units

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 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 55.0 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?  yards (b) What if? The receiver that catches the football travels 64.0 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 sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as the drawing indicates. The magnitudes of the first three vectors are A = 2.90 km, B = 4.90 km, and C= 5.30 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle (. (a) Number i 6.67 (b) Number 21.29 Units Units 0 0 23.0 7 B km + Finish- B 35.0 X 40.0° Start

A = direction of vector 1. Vector A 1.00 i + -2.00 and vector B = 3.00 / B = 3.00 i +4.00 +4.00 j. What are the magnitude and = A + B ? Answer: 4.47 in a direction 26.6° counterclockwise from the positive x axis K

A girl delivering newspapers covers her route by traveling 2.50 blocks west, 5.00 blocks north, and then 6.75 blocks east. (a) What is her resultant displacement? magnitude      blocks direction      ° north of east (b) What is the total distance she travels in blocks?