Review question

# Given the position of a mass, can we find its velocity and acceleration? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7678

## Question

A mass of $\quantity{3}{kg}$ has position vector $\mathbf{r} = (3t^2+2t)\mathbf{i}-4t^2\mathbf{j}$, where $\mathbf{r}$ is measured in metres and $t$ is the time in seconds.

Find its velocity and acceleration vectors in terms of $t$.

Show that it is subject to a force of magnitude $\quantity{30}{N}$, and find the direction of the force.