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## Homework Statement

I am having difficulties in analyzing problems. Here are the problems:

A1. A hiker begins trip by walking 25km southeast from her base camp. on the second day, she walks 40km in a direction of 60 degrees N of E, at which point she discovers a forest ranger's tower. Determine the components of the hiker's displacement.

A2. Consider yourself in a car (A) traveling along a straight, level highway with a speed of V(a) = 75km/h. Another car (B) travels at a speed V(b)=90 km/h. Find the differences in the velocities V(ba) = V(b) - V(a) when (a) the car travels in the same direction in front of you and (b) the other car is approaching you traveling the opposite direction,

## Homework Equations

Vector Components

sine, cosine, tangent

Pythagorean theorem

## The Attempt at a Solution

A1. Given:

A = 25km SE

B = 40km 60 deg NE

∑Fx = -25km + 40km cos60 = -5km

∑Fy = -25km - 40km sin60 = 9.64 km

R=(5^2)+(9.64^2)=10.8 arc tan (y/x) = 62.58deg

other format:

DISTANCE ANGLE x-comp y-comp

25 km - -25km ? -25km? (should this be here or not)

40 km 60 20 km 34.64 km

is my answer right,? do I have to add the 25km as a component for x and y,it does not have any angle but only a direction (SE)

and is the 'Theta' always in the 'x-axis' not in the 'y-axis' also having difficulties in identifying theta.

A2. I didn't really understand this problem, how can I use vectors to solve it.?

please help me and thank you