A boat capable of moving with a velocity of 6 m/s relative to the water is pointed straight across a stream flowing with a current velocity of 3 m/s. The width of the stream is 48 m.
a. Draw a vector diagram to show how the velocity of the stream adds to the velocity of the boat relative to the water to obtain the velocity of the boat relative to the Earth.
b. Use the Pythagorean theorem to find the magnitude of the velocity of the boat relative to the Earth.
c. How long does it take for the boat to cross the stream? (We need to consider only the component of the velocity of the boat that is straight across the stream if we use the stream width for the distance.)
d. How far downstream from its starting point does it hit the opposite bank?
e. How far does the boat actually travel in reaching the opposite bank?