You are lost at night in a large, open field. Your GPS tells you that you are 100 m from your truck, in a direction 50.0o west of south. You walk 50.0 m due west along a ditch.  How much farther must you walk to reach your truck?

A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 5 ft and has initial velocity vo = 51i +37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 5 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t): =

A ship leaves a port and travels on a steady course 66o East of due North at a steady speed of 13.9 km h-1. After sailing for 4.0 hours, how far (in km) due East from the port is the ship?

27. Two bicyclists, starting at the same place, are riding toward the samecampground by two diff erent routes. One cyclist rides 1080 m due east and then turns due north and travels another 1430 m before reaching thecampground. The second cyclist starts out by heading due north for 1950 mand then turns and heads directly toward the campground. (a) At the turning point, how far is the second cyclist from the campground? (b) In whatdirection (measured relative to due east) must the second cyclist headduring the last part of the trip?

You walk 48.9 m to the north. You then turn 43.2 degrees to your right, so that you are facing 90-43.2 degrees north of east, and walk another 17.2 m. How far are you from where you originally started?

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.

A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and east

Vector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.

A river flows due east. A boat travels with constant speed due north across the river from point A to point B. The speed of the boat relative to the water is 5 m/s. The river is 21m wide and it takes 7s to travel from A to B. What is the speed of the current in the river?

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.