Final answer:
The average velocity of the object is 18.028 units/s in the southwest direction, calculated by finding the total displacement divided by the change in time over the given time interval.
Step-by-step explanation:
To calculate the average velocity of an object, we can use the formula:
Average Velocity = Δx / Δt
Where Δx is the change in position and Δt is the change in time. For the object moving from the point (200, 125) to (50, 25), this can be calculated as follows:
- Change in x-coordinate (Δx): 50 - 200 = -150
- Change in y-coordinate (Δy): 25 - 125 = -100
- Total displacement (d): √((-150)^2 + (-100)^2) = √(22500 + 10000) = √(32500) = 180.28 units
- Change in time (Δt): 10 seconds
- Average velocity (v): 180.28 units / 10 s = 18.028 units/s
The direction of the average velocity is also important. Since both the x-coordinate and y-coordinate have decreased, the object is moving in the southwest direction (if we consider positive x to the right and positive y up). Therefore, the average velocity is 18.028 units/s to the southwest.