Question

What is the final velocity of the object in meters per second and in which direction?

1) 14.4 m/s south
2) 14.4 m/s north
3) 14.4 m/s east
4) 14.4 m/s west

Answer 1

The final velocity of the object is 14.4 m/s southwest.

Step-by-step explanation:

The final velocity of the object is 14.4 m/s southwest. This can be determined by considering the initial velocity of the object, which is 15.0 m/s east, and the change in direction to northwest.

To find the final velocity, we can calculate the resultant velocity of the object by adding the initial velocity and the change in velocity. Since the change in velocity is to the northwest, we can use the Pythagorean theorem to find the magnitude of the change in velocity:

change in velocity = sqrt((15.0 m/s)^2 + (15.0 m/s)^2)

Using a calculator, we find that the magnitude of the change in velocity is approximately 21.2 m/s. To determine the direction of the change in velocity, we can use trigonometry:

direction = arctan(15.0 m/s / 15.0 m/s)

Using a calculator, we find that the direction of the change in velocity is approximately 45 degrees southwest. Therefore, the final velocity of the object is 14.4 m/s southwest.