# Thread: Displacement and Distance of a Velocity function

1. ## Displacement and Distance of a Velocity function

I'm unsure or not if the anti derivative of this would be displacement, in fact i'm unsure of how to even tackle this. Please help me, I'm clueless!

3. v(t) = t^3 -5t^2 +6t
a) determine displacement over the interval 0-5
b) determine total distance over the interval 0-5

2. Originally Posted by Lupus7874
I'm unsure or not if the anti derivative of this would be displacement, in fact i'm unsure of how to even tackle this. Please help me, I'm clueless!

3. v(t) = t^3 -5t^2 +6t
a) determine displacement over the interval 0-5
b) determine total distance over the interval 0-5
a) $\frac{dx}{dt} = v$ therefore ....

b) Start by drawing a graph of x versus t.