Question

The position of a particle is given by ~r(t) = (3.0 t2 ˆi + 5.0 ˆj j 6.0 t kˆ) m

Answer 1

`v=(6ti+6k)\ m/s`

Step-by-step explanation:

Given that,

The position of a particle is given by :

`r(t) = (3.0 t^2 i + 5.0j+ 6.0 tk) m`

Let us assume we need to find its velocity.

We know that,

`v=(dr)/(dt)\\\\=(d)/(dt)(3.0 t^2 i + 5.0j+ 6.0 tk) \\\\=(6ti+6k)\ m/s`

So, the velocity of the particle is
`(6ti+6k)\ m/s`.