Question

What is the speed of an object that travels from `(4,-7,1)` to `(-1,9,3)` over `6 s`?

Answer 1

Velocity `v=2.81ms^-1`

Explanation:

Well, first we need to find the displacement of the object.

The initial point is `(4,-7,1)` and the final point is `(-1,9,3)`
So, to find the least displacement, we use the formula
`s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}`

Taking the initial points as that of `x_1` and so on, with the final points as the other, we find `s=16.88m`

Now, the total time taken for this transit is `6s`
So, the velocity of the object in this transit would be `16.88/6=2.81ms^-1`