Question

if boat of the preceding stration travels with the speed of 13kmph relative
to the river and is to travel due north, what should its
heading be?​

Answer 1

Answer:

Explanation:

Let Vbr,the velocity of the boat relative to the river,and VrE,the velocity of the river relative to earth.What we must find is VbE,the velocity of the boat relative to Earth.The relationship between these three quantities is

VbE=Vbr+VrE

The quantity Vbr is due north,VrE is due east,and the vector sum of the two,VbE is at an angle θ

We can find the speed vbE of the boat relative to Earth by using the Pythagorean theorem :

vbE=v2br+v2rE−−−−−−−√=(10.0)2+(5.00)2−−−−−−−−−−−−−√ km/h

⇒11.2km/h

The direction of vbE is

θ=tan−1(vrEvbr)=tan−1(5.0010.0)=26.6∘