An object moves from the position (1,3,-5) to position (-1,4,8) during time 8 s. what is the average velocity?
To find the average velocity of an object, we need to calculate the displacement and divide it by the time taken.
The displacement is the change in position of the object from its initial position to its final position. In this case, the initial position is (1, 3, -5) and the final position is (-1, 4, 8). We can find the displacement by subtracting the initial position from the final position.
Displacement = Final Position - Initial Position
= (-1, 4, 8) - (1, 3, -5)
= (-1-1, 4-3, 8-(-5))
= (-2, 1, 13)
The time taken is given as 8 seconds.
Now, we can calculate the average velocity by dividing the displacement by the time taken.
Average Velocity = Displacement / Time Taken
= (-2, 1, 13) / 8
= (-2/8, 1/8, 13/8)
= (-0.25, 0.125, 1.625)
Therefore, the average velocity of the object is (-0.25, 0.125, 1.625) units per second in the x, y, and z directions, respectively.