Question

A pontoon boat is traveling 25 miles per hour in the direction of S 65° W. If it hits a current traveling at 6 miles per hour in the N 15° W direction, find the resultant vector.​

Answer 1

To find the resultant vector when a pontoon boat is traveling 25 miles per hour in the direction of S 65° W and hits a current traveling at 6 miles per hour in the N 15° W direction, we can subtract the two vectors by breaking them down into their horizontal and vertical components.

Step-by-step explanation:

Physics - Subtracting Vectors Graphically

To find the resultant vector when a pontoon boat is traveling 25 miles per hour in the direction of S 65° W and hits a current traveling at 6 miles per hour in the N 15° W direction, we need to subtract the two vectors.

First, we can break down the vectors into their horizontal and vertical components. The boat's velocity can be represented as -25 cos(65°) i - 25 sin(65°) j, and the current's velocity can be represented as 6 cos(15°) i + 6 sin(15°) j.

Next, we can subtract these two vectors to find the resultant vector. The resultant vector is (-25 cos(65°) - 6 cos(15°)) i + (-25 sin(65°) + 6 sin(15°)) j