Answer:
a) 0°
b ) 0 mt
Step-by-step explanation:
We are going to deprecate the water friction.
The situation is depicted in the picture attached.
Since your friend travels at a speed of 2m/seg parallel to the shoreline, after t seconds, the coordinates of your friend P(x(t),y(t)) are
P = (-100+2t, 150)
Your coordinates are
where is the angle relative to north and r(t) is the distance from Q (your position at time t) to the origin.
You will reach your friend when P=Q, that is
1)
2)
Operating on 2)
Since
replacing in 1) we have
squaring both sides
and we obtain the quadratic equation
whose solutions are
t = -130 and t =50
As t represents time, the suitable solution is t = 50
When t = 50, replacing in 2) we get
and
a)
The angle relative to north you should swim is 0 degrees, that is, you should swim perpendicular to the shoreline
b)
If <em>we do not take into account the water friction</em>, the distance towards east from your starting point is 0 mt