Question

A river current has a velocity of 10 km/h related to the shore and a boat moves in the same direction as a current of 10 km/h related to the River how can the velocity of the boat related to the shore fee calculated

Answer 1

20 km/hr. Velocity is magnitude and direction. If two vectors are going in the same direction, you just add the magnitude.

Answer 2

Answer: Relative velocity of the boat with respect to shore is 20 km/h.

Explanation;

Relative velocity of the river with respect to shore,V = 10 km/h

Velocity of the shore = 0 km/h

Relative velocity of the river with respect to shore:

$V=V_r-V_s$

$10 km/h=V_r-0km/h$

Velocity of the river$V_r$ = 10 km/h

Velocity of the boat =  $V_b$ = ?

Relative velocity of the boat with respect to river ,V'= 10 km/h

$V'=V_b-V_r$

$10 km/h=V_b-10 km/h$

$V_b=20 km/h$

Velocity of the boat$V_b$ = 20 km/h

Relative velocity of the boat with respect to shore, V":

$V"=V_b-V_s=20 km/h-0 km/h=20 km/h$

Relative velocity of the boat with respect to shore is 20 km/h.