A boat’s speed in still water is 1.80 m/s . The boat is to travel directly across a river whose current has speed 1.20 m/s . Determine the speed of the boat with respect to the shore.
what is v when
v=sqrt(1.8^2+1.2^2)
To determine the speed of the boat with respect to the shore, we need to consider the boat's velocity vector and the river's velocity vector.
Let's represent the velocity of the boat in still water as Vbw, and the velocity of the river as Vr.
The boat's velocity vector is the vector sum of its velocity in still water and the velocity of the river, which can be represented mathematically as:
Vb = Vbw + Vr
Given that the boat's speed in still water (Vbw) is 1.80 m/s, and the river's current speed (Vr) is 1.20 m/s, we can substitute these values into the equation:
Vb = 1.80 m/s + 1.20 m/s
Vb = 3.00 m/s
Therefore, the speed of the boat with respect to the shore is 3.00 m/s.