### The expressions below give the position function for an object moving along the x-axis. In which case is the velocity zero at the time . In all cases, are constants.

ANSWER:To answer this question, we need to get the velocity function by getting the derivative of the given position functions. After getting the derivative, the velocity function with a value of zero at time is the answer.

If we take the function , and find its derivative, the resulting function is

.

If we substitute in the velocity function, the result is

.

And we know that the is equal to zero, which makes the velocity function equal to zero at time zero.