Respuesta :
Velocity of the boat with respect to Earth is 5 m/s 56.31° north of east
Explanation:
A boat heads north in still water at 4.5 m/s directly across a river that is running east at 3.0 m/s.
Let north be positive y axis and east be positive x axis.
We have
Velocity of boat = 4.5 j m/s
Velocity of river = 3 i m/s
Velocity of the boat with respect to Earth = 3 i + 4.5 j
[tex]\texttt{Magnitude of velocity = }\sqrt{3^2+4.5^2}\\\\\texttt{Magnitude of velocity = }5.41m/s[/tex]
[tex]\texttt{Angle = }tan^{-1}\left ( \frac{4.5}{3}\right )\\\\\texttt{Angle = }56.31^0[/tex]
That is 56.31° north of east.
Velocity of the boat with respect to Earth is 5 m/s 56.31° north of east
Answer:
5.41 m/s
Explanation:
velocity of boat with respect to water , Vb,w = 4.5 j
velocity of water with respect to ground, Vw,g = 3 i
velocity of boat with respect to water = velocity of boat - velocity of water
Vb,w = Vb, g - Vw, g
4.5 i = Vb,g - 3i
Vb,g = 3 i + 4.5 j
The magnitude of velocity = [tex]\sqrt{3^{2}+4.5^{2}}[/tex] = 5.41 m/s
