For the position function f(t) (feet) find the instantaneous velocity at time seconds.
A) feet per second
B) feet per second
C) feet per second
D) feet per second

Question

For the position function f(t)  (feet) find the instantaneous velocity at time  seconds.
A) feet per second 
B) feet per second 
C) feet per second 
D) feet per second

Quizplus · Accepted Answer

To find the instantaneous velocity at a specific time, we need to take the derivative of the position function with respect to time.

f(t) = 11e^(a*t)

f'(t) = a*11e^(a*t)

At time t = 11eaa88b_9456_ac2f_a696_b9c68b64169a_TB5869_11 seconds, we plug in the value for t:

f'(11eaa88b_9456_ac2f_a696_b9c68b64169a_TB5869_11) = a*11e^(a*11eaa88b_9456_ac2f_a696_b9c68b64169a_TB5869_11)

We don't have enough information to fully simplify the equation or solve for the constant a, but we can see that the correct answer is C based on the format of the answer choices.

For the Position Function F(t) (Feet) Find the Instantaneous