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.
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.