Question

How the degree of polynomial in continuous path is estimated with its acceleration and velocity

Answer 1

Answer on Question #60772-Engineering-Other

How the degree of polynomial in continuous path is estimated with its acceleration and velocity

Answer

If the acceleration is constant but the velocity is not a constant the degree of polynomial is 2:

$$P _ {2} (t) = A t ^ {2} + B t + C.$$

If the acceleration is zero and the velocity is a constant the degree of polynomial is 1:

$$P _ {1} (t) = A t + B.$$

If the acceleration is zero and the velocity is zero the degree of polynomial is 0:

$$P _ {0} (t) = A.$$