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) travelling 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 travelling the opposite direction,
sine, cosine, tangent
The Attempt at a Solution
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
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