A bee with velocity vector r ′ ( t ) starts out at the origin at t = 0 and flies around for T seconds. Where is the bee located at time T if ∫ T 0 r ′ ( u ) d u = 0 ? What does the quantity ∫ T 0 ∥ r ′ ( u ) ∥ d u represent?

At time T the bee will be at (0,0).

The quantity represents the integral of function with the time interval of (0,T).

Step-by-step explanation:

Given :

As we already know that

Thus we can say that

Now,          

So at time T the bee will be at (0,0).