An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. give decimal answers below. (a) how many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) what is t the first time that the object is at its farthest right? (c) at the time found in part (b), what is the object's velocity? (d) at the time found in part (b), what is the object's acceleration?