Question

acceleration in terms of differentiation​

Answer 1

Answer:

$\bold \red{h} \bold\blue{i} \: \bold{m} \bold \purple{a} \bold \green{t} \bold \pink{e}$

Your speed is the first derivative of your position. ... If a function gives the position of something as a function of time, the first derivative gives its velocity, and the second derivative gives its acceleration. So, you differentiate position to get velocity, and you differentiate velocity to get acceleration.

Explanation:

$\boxed{f} \red{o} \boxed{l} \pink{l}\boxed{o} \green{w} \: \: \boxed{m} \purple{e}$

Answer 2

Answer:

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.