Suppose that a particle moves according to the law of motion
s = \frac{2 t}{t^2 + 11}, \qquad t\geq 0.

(A) Find the velocity at timet .

(A) Find the velocity at time

(B) What is the velocity after 3 seconds?

Velocity after 3 seconds =

(C) Find all values of

(D) Use interval notation to indicate when the particle is moving in the
positive direction. (If the particle is never moving in the positive direction,
enter "{}" without the quotation marks.)

Answer =

(E) Find the total distance traveled during the first 8 seconds.

Total distance =

You can earn partial credit on this problem.