Question

A ship is sailing due north at 8m\s. A passenger walks across the deck at 4m\s due east. What is his resultant velocity and direction​

Answer 1

Step-by-step explanation:

We can use the Pythagorean theorem to find the resultant velocity of the passenger:

Resultant velocity = sqrt((8 m/s)^2 + (4 m/s)^2)

Resultant velocity = sqrt(80) m/s

Resultant velocity ≈ 8.94 m/s

To find the direction of the resultant velocity, we can use trigonometry. The angle between the north direction and the direction of the resultant velocity is given by:

theta = arctan(4/8)

theta = arctan(0.5)

theta ≈ 26.57 degrees

So the passenger's resultant velocity is 8.94 m/s at an angle of approximately 26.57 degrees east of north.