# A particle moves along a line so that its displacement at time t≥ 0 is given by s(t)=2t^3-24t+1, where s is measured in meters and t is measured in seconds. At what values of t does the particle change direction? Thank you!

##### 1 Answer

By using graphs and a bit of differentiation, I got t = 2 and t = -2

#### Explanation:

Started with

Differentiated it

In a graph, a 'turning point' or in other words, change in direction means that m(slope of graph) = 0.

You then put the values that you have into

Your values:

When you solve that equation above, you get...

Since with your starting equation...

Therefore,

and that's the answer, i think