An object is moving in a straight line along the y axis. as a function of time, its position is given by the equation y=3.0+4.8x +6.4x ,what is the velocity of the object as a function of time?
what is the acceleration of the object as a function of time?

Explanation:

Instant Velocity and Acceleration

Give the position of an object as a function of time y(x), the instant velocity can be obtained by

Where y'(x) is the first derivative of y respect to time x. The instant acceleration is given by

We are given the function for y

Note we have changed the last term to be quadratic, so the question has more sense.

The velocity is

And the acceleration is