# AP Calculous

posted by
**Yoona**
.

A particle moves on the x –axis so that its position at any time is given by x(t) = 2t3 + 1.

a. Find the acceleration of the particle at t = 0.

b. Find the velocity of the particle when its acceleration is 0.

c. Find the total distance traveled by the particle from t = 0 to t = 5.