The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.

A

Step-by-step explanation:

The position of an atom moving inside a cathode ray tube is given by the function:

Where f(t) is in meters and t is in seconds.

And we want to determine its instantaneous velocity at t = 2.5 seconds.

The velocity function is the derivative of the position function. Thus, find the derivative of the function:

Then the instantaneous velocity at t = 2.5 will be:

Our answer is A.

answer: the correct answer is -32

step-by-step explanation:

answer: 7

step-by-step explanation: