# Applications of derivatives: Motion along a line

Practice analyzing a particle's position, velocity and acceleration.

### Problem

The position of a particle moving along a number line is given by
s, left parenthesis, t, right parenthesis, equals, sine, left parenthesis, t, right parenthesis,
where t, is greater than or equal to, 0 is the elapsed time in seconds.
In the first 2, pi seconds of motion, when is the particle speeding up?
Select all that apply.
Select all that apply.