Given the position function r of a moving object, explain how to find the velocity, speed, and acceleration of the object.
A. To find the velocity, integrate the position function. To find the speed, add the squares of each component of the velocity function and take the square root. To find the acceleration, differentiate the position function.
B. To find the velocity, integrate the position function. To find the speed, add the squares of each component of the position function and take the square root. To find the acceleration, integrate the velocity function.
C. To find the velocity, differentiate the position function. To find the speed, add the squares of each component of the acceleration function and take the square root. To find the acceleration, integrate the position function.
D. To find the velocity, differentiate the position function. To find the speed, add the squares of each component of the velocity function and take the square root. To find the acceleration, differentiate the velocity function.