Question

A boat heads north across a river at a rate of 3 miles per hour. If the current is flowing east at a rate of 2 miles per hour, find the resultant velocity of the boat. (Assume that east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.)

Answer 1

Answer:

The resultant velocity of the boat is 3.6 mil/h

Explanation:

given information:

flowing rate to the east (positive x-axis), v₁ = 2 mil/h (0.2) = 2i

boat's speed to the north (positive y-axis), v₂ = 3 mil/h (3,0) = 3j

the resultant velocity of the boat:

$v_{R}$ = √3²+2²

    = √13

    = 3.6 mil/h