The acceleration of a particle traveling along a straight line is #a = (8-2s) m/s^s#, where #s# is in meters. How do you determine the position of the particle when the velocity is maximum?

Does that make sense?

In order to find the particle's maximum velocity position, we first find the velocity function by integrating the acceleration function with respect to time. Next, we solve for the position corresponding to these critical points by setting the derivative of the velocity function equal to zero. Lastly, we use the second derivative test to find out if these critical points correspond to maximum velocity.

To determine the position of the particle when the velocity is maximum, you first find the velocity function by integrating the acceleration function with respect to time. Then, you identify critical points of the velocity function by setting its derivative equal to zero and solving for ( s ). Finally, you evaluate the position function at these critical points to find the position when the velocity is maximum.