Question

You row a boat perpendicular to the shore of a river that flows at 3m/s. The velocity of your boat is 4m/s relative to the water. What is your velocity relative to the shore?

A) 5 m/s
B) 1 m/s
C) 7 m/s
D) 4 m/s

Answer 1

Your velocity relative to the shore is 7 m/s.

Step-by-step explanation:

To determine your velocity relative to the shore, we need to use vector addition. The velocity of the boat with respect to the shore is found by adding the velocity of the boat with respect to the water and the velocity of the water with respect to the shore.

Given that the velocity of the boat with respect to the water is 4m/s and the velocity of the water with respect to the shore is 3m/s (as mentioned in the question), we can add these velocities together to get the velocity of the boat with respect to the shore:

Velocity of boat with respect to shore = Velocity of boat with respect to water + Velocity of water with respect to shore

Velocity of boat with respect to shore = 4m/s + 3m/s = 7m/s

Therefore, your velocity relative to the shore is 7 m/s.