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 5.4 km, but when the snow clears, he discovers that he actually traveled 8.1 km at 47o north of due east. (a) how far and (b) in what direction (south of due west) must he now travel to reach base camp?

Actual displacement that he required to move

towards North

Displacement that he moved due to snow is

at 47 degree North of East

now in vector component form we can say

now the displacement that is more required to reach the destination is given as

so the magnitude of the displacement is given as

its direction is given as

so it is 5.54 km towards 5.38 degree North of West.

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

im guessing the west of station b