select the correct answer.\na motor boat is traveling east with a velocity of 7.3 meters/second. it…

select the correct answer.\na motor boat is traveling east with a velocity of 7.3 meters/second. it experiences a current of 0.34 meters/second from the east. find the resultant velocity of the boat and its direction.\na. 7.3 meters/second west\nb. 7.6 meters/second west\nc. 7.0 meters/second east\nd. 0.34 meters/second east

select the correct answer.\na motor boat is traveling east with a velocity of 7.3 meters/second. it experiences a current of 0.34 meters/second from the east. find the resultant velocity of the boat and its direction.\na. 7.3 meters/second west\nb. 7.6 meters/second west\nc. 7.0 meters/second east\nd. 0.34 meters/second east

Answer

Explanation:

Step1: Analyze velocity directions

The boat is moving east with a velocity of $v_{boat}=7.3$ m/s and the current is coming from the east (opposite - direction), with a velocity of $v_{current}=0.34$ m/s.

Step2: Calculate resultant velocity

Since the velocities are in opposite directions, we subtract the magnitude of the current velocity from the boat's velocity. The resultant velocity $v = v_{boat}-v_{current}$. So, $v=7.3 - 0.34=7.0$ m/s.

Step3: Determine direction

The boat's original direction is east and since the resultant velocity is positive, the direction is east.

Answer:

C. 7.0 meters/second east