Is this correct

Problem 5. (1 point) Suppose that the position of a spacecraft is given by a function s = f(t) = 2t 30? + 144t, where t Ois time measured in seconds and the position is measured in kilometers. Fill in the blanks to complete the following statements. = The instantaneous rate of change of s with respect tot isthe derivative of f with respect to , and this quantity represents the velocity S of the spacecraft as a function of t. = The spacecraft is at rest (that is, not moving) when the velocity S of the spacecraft is equal to 0 km/s, and this occurs when t is equal to seconds (enter the value(s) of t as a list separated by commas). = The acceleration of the spacecraft as a function of tis given by a(t) = | 12t 60 @