d of 82.5 km/h for half an hour (0.500 h), the blue boat headed 22.30 south of west, and the green boat does the green boat travel, compared to the blue boat? Express your answers in km. W E S Wiley & Sons, Inc. C LG

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 > > >

Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction exactly 19° south of west.  How far are you from your starting point in m?

A car is driven east for a distance of 48 km, then north for 30 km, and then in a direction 26° east of north for 21 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction exactly 39° west of north. Repeat the problem by finding your distance from the starting point in m, but reverse the order of the two legs of the walk. That is, you first walk leg B, which is 22 m in a direction exactly 39 degrees west of north, and then leg A, which is 14.5 in a direction 19 degrees south of west. Please explain how you got your answer in detail.

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.1 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i 34.99 (b) Number 1.48 Units Units km ° (degrees)

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.59 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 Units (b) Number Units (c) Number Units

A woman walks 250 m in the direction 30° east of north, then 175 m directly east. Find (a) the magnitude and (b) the angle of her final displacement from the starting point. (c) Find the distance she walks. (d) Which is greater, that distance or the magnitude of her displacement?

You go on a long hike by first walking 25 km southeast (i.e., 45° south of east) from your car. You then stop and camp for the night. On the second day, you walk 40 km in a direction 60° north of east. In what direction, as measured from the position of your car, is your final position? (Give your answer to the nearest degree.)