How do velocity and acceleration differ?

1 Answer
Mar 30, 2018

Answer:

See below:

Explanation:

Common calculus problems involve displacement-time functions,
#d(t)#. For the sake of the argument let's use a quadratic to describe our displacement function.

#d(t)=t^2-10t+25#

Velocity is the rate of change of displacement- the derivative of a #d(t)# function yields a velocity function.

#d'(t)=v(t)=2t-10#

Acceleration is the rate of change of velocity- the derivative of a #v(t)# function or the second derivative of the #d(t)# function yields an acceleration function.

#d''(t)=v'(t)=a(t)=2#

Hopefully, that makes their distinction clearer.