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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?

Respuesta :

Answer:

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

[tex]v(x)=y'(x)[/tex]

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

[tex]a(x)=v'(x)=y''(x)[/tex]

We are given the function for y

[tex]y(x)=3.0+4.8x +6.4x^2[/tex]

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

The velocity is

[tex]v(x)=y'(x)=4.8+12.8x[/tex]

And the acceleration is [tex]a(x)=v'(x)=12.8[/tex]