# If an object has a displacement function #s(t)=t-ln(2t+1)# where #t# is in seconds and #t>=0#, can you find the distance travelled in the first 2 seconds?

##### 1 Answer

#### Explanation:

**Displacement** is given by:

We can see that the change in **displacement** (the vector quantity that measures spatial differences) during the period

But that is not necessarily the **distance** (the scalar quantity that measures spatial differences) travelled by the object in

Solving the displacement equation looks tricky, ie we need to solve:

I am not sure how you do that simply, so, despite the Pre-Calc classification, from **calculus** , we can see that velocity is:

So, just to make it clear:

To obtain the distance travelled, we need to look at the displacements at these 3 points:

So the distance