Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1110 m due east and then turns due north and travels another 1470 m before reaching the campground. The second cyclist starts out by heading due north for 1890 m and then turns and heads directly toward the campground. (a) At the turning point, how far is the second cyclist from the campground? (b) In what direction (measured relative to due east within the range (-180˚, 180˚]) must the second cyclist head during the last part of the trip?

Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and thenwalks 30 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°] should it walk?

A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 97.0 km due north. The sailor, however, ends up 56.0 km due east of the starting point. (a) How far and (b) in what direction (west of due north) must the sailor now sail to reach the original destination?

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 > > >

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.

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. It then moves 127 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude direction 167.6 The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft 367 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative. counterclockwise from the +x- axis Need Help? Read It

Physics Question: Two bicyclists , starting at the same place , are riding toward the same campground by two different routes. One cyclist rides 1080 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1950 m and then turns and heads directly toward the campground. (a) At the turning point , how far is the second cyclist from the campground ? (b) In what direction (measured relative to due east) must the second cyclist head during the last part of the trip ?

You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it up, you will be in a hurry and should walk straight to it. Determine the angle you should walk, relative to due west and the distance.

To get to his office from home, Greg walks 7 blocks north and then 3 blocks east. After work he meets some friends at a cafe; to get there he walks 2 blocks south and 6 blocks west. All blocks are 660 feet long. What is the straight-line distance from the cafe to his home?

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?