Velocity and Acceleration

# Velocity and Acceleration - Velocity and Acceleration In...

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Velocity and Acceleration In this section we need to take a look at the velocity and acceleration of a moving object. From Calculus I we know that given the position function of an object that the velocity of the object is the first derivative of the position function and the acceleration of the object is the second derivative of the position function. So, given this it shouldn’t be too surprising that if the position function of an object is given by the vector function then the velocity and acceleration of the object is given by, Notice that the velocity and acceleration are also going to be vectors as well. In the study of the motion of objects the acceleration is often broken up into a tangential component , a T , and a normal component , a N . The tangential component is the part of the acceleration that is tangential to the curve and the normal component is the part of the acceleration that is normal (or orthogonal) to the curve. If we do this we can write the acceleration as,

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## This note was uploaded on 11/10/2011 for the course MATH 136 taught by Professor Prellis during the Fall '08 term at Rutgers.

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Velocity and Acceleration - Velocity and Acceleration In...

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