Find the position function from the given velocity function.

Question

Quizplus · Accepted Answer

To find the position function from the given velocity function, we need to integrate the velocity function with respect to time, as position is the integral of velocity with respect to time. Therefore, the position function is:
position = integrate(velocity) dt

From the given velocity function, we have:
velocity = 11e^(2t)

Integrating this with respect to t, we get:
position = (11/2)e^(2t) + C

where C is a constant of integration. Since we are not given any initial conditions, we cannot determine the exact value of C. However, we can see that option B matches this form of the position function, with the correct constant of integration (TB2342_11). Therefore, the best choice is B.

Find the Position Function from the Given Velocity Function