Vector valued velocity and acceleration question

1. Jun 5, 2013

leehufford

Hello,

In my multivariable calc class we are differentiating and integrating position, velocity and acceleration vector valued functions. My question is this:

When we integrate a vector valued function from acceleration to position, the constant vector only changes the definition of the functions that were not zero for acceleration. For example if the position function is <1,0,0> and the acceleration function is <0,1,0> , you could never recover that initial x motion from integrating the acceleration function.

What am I missing here? I understand the constant from integration is in the form of a vector now but this doesn't help me see what's wrong. Thanks for reading,

Lee

2. Jun 5, 2013